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Finding the Fourth Proportional to 70,166.32, 96,829.23 and 38,335.75

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Solution

The fourth proportional to 70,166.32, 96,829.23 and 38,335.75 is: 52,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,166.32 : 96,829.23 = 38,335.75 : x
  2. Step 2: Convert to fraction form
    70,166.32/96,829.23 = 38,335.75/x
  3. Step 3: Cross multiply
    70,166.32x = 96,829.23 × 38,335.75
  4. Step 4: Simplify right side
    70,166.32x = 3,712,021,153.97
  5. Step 5: Solve for x
    x = 3,712,021,153.97/70,166.32
  6. Step 6: Final answer
    x = 52,903.18

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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.