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Finding the Fourth Proportional to 94,140, 129,924.72 and 54,396

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Solution

The fourth proportional to 94,140, 129,924.72 and 54,396 is: 75,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,140 : 129,924.72 = 54,396 : x
  2. Step 2: Convert to fraction form
    94,140/129,924.72 = 54,396/x
  3. Step 3: Cross multiply
    94,140x = 129,924.72 × 54,396
  4. Step 4: Simplify right side
    94,140x = 7,067,385,069.12
  5. Step 5: Solve for x
    x = 7,067,385,069.12/94,140
  6. Step 6: Final answer
    x = 75,073.14

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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.