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Finding the Fourth Proportional to 97,715.60, 146,507.70 and 38,520.80

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Solution

The fourth proportional to 97,715.60, 146,507.70 and 38,520.80 is: 57,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,715.60 : 146,507.70 = 38,520.80 : x
  2. Step 2: Convert to fraction form
    97,715.60/146,507.70 = 38,520.80/x
  3. Step 3: Cross multiply
    97,715.60x = 146,507.70 × 38,520.80
  4. Step 4: Simplify right side
    97,715.60x = 5,643,593,810.16
  5. Step 5: Solve for x
    x = 5,643,593,810.16/97,715.60
  6. Step 6: Final answer
    x = 57,755.30

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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.