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Finding the Fourth Proportional to 65,000.25, 97,500.38 and 15,752.25

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Solution

The fourth proportional to 65,000.25, 97,500.38 and 15,752.25 is: 23,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000.25 : 97,500.38 = 15,752.25 : x
  2. Step 2: Convert to fraction form
    65,000.25/97,500.38 = 15,752.25/x
  3. Step 3: Cross multiply
    65,000.25x = 97,500.38 × 15,752.25
  4. Step 4: Simplify right side
    65,000.25x = 1,535,850,282.09
  5. Step 5: Solve for x
    x = 1,535,850,282.09/65,000.25
  6. Step 6: Final answer
    x = 23,628.38

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.