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Finding the Fourth Proportional to 65,255.25, 97,882.88 and 28,319.25

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Solution

The fourth proportional to 65,255.25, 97,882.88 and 28,319.25 is: 42,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,255.25 : 97,882.88 = 28,319.25 : x
  2. Step 2: Convert to fraction form
    65,255.25/97,882.88 = 28,319.25/x
  3. Step 3: Cross multiply
    65,255.25x = 97,882.88 × 28,319.25
  4. Step 4: Simplify right side
    65,255.25x = 2,771,969,607.84
  5. Step 5: Solve for x
    x = 2,771,969,607.84/65,255.25
  6. Step 6: Final answer
    x = 42,478.88

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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.