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Finding the Fourth Proportional to 65,000.75, 97,501.13 and 15,752.75

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Solution

The fourth proportional to 65,000.75, 97,501.13 and 15,752.75 is: 23,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000.75 : 97,501.13 = 15,752.75 : x
  2. Step 2: Convert to fraction form
    65,000.75/97,501.13 = 15,752.75/x
  3. Step 3: Cross multiply
    65,000.75x = 97,501.13 × 15,752.75
  4. Step 4: Simplify right side
    65,000.75x = 1,535,910,846.84
  5. Step 5: Solve for x
    x = 1,535,910,846.84/65,000.75
  6. Step 6: Final answer
    x = 23,629.13

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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.