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Finding the Fourth Proportional to 70,715.78, 97,585.25 and 38,884.40

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Solution

The fourth proportional to 70,715.78, 97,585.25 and 38,884.40 is: 53,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,715.78 : 97,585.25 = 38,884.40 : x
  2. Step 2: Convert to fraction form
    70,715.78/97,585.25 = 38,884.40/x
  3. Step 3: Cross multiply
    70,715.78x = 97,585.25 × 38,884.40
  4. Step 4: Simplify right side
    70,715.78x = 3,794,543,212.75
  5. Step 5: Solve for x
    x = 3,794,543,212.75/70,715.78
  6. Step 6: Final answer
    x = 53,659.08

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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.