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Finding the Fourth Proportional to 70,475.24, 97,255.54 and 38,646.16

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Solution

The fourth proportional to 70,475.24, 97,255.54 and 38,646.16 is: 53,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475.24 : 97,255.54 = 38,646.16 : x
  2. Step 2: Convert to fraction form
    70,475.24/97,255.54 = 38,646.16/x
  3. Step 3: Cross multiply
    70,475.24x = 97,255.54 × 38,646.16
  4. Step 4: Simplify right side
    70,475.24x = 3,758,553,159.73
  5. Step 5: Solve for x
    x = 3,758,553,159.73/70,475.24
  6. Step 6: Final answer
    x = 53,331.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.