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Finding the Fourth Proportional to 38,538.89, 57,812.18 and 10,459.40

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Solution

The fourth proportional to 38,538.89, 57,812.18 and 10,459.40 is: 15,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538.89 : 57,812.18 = 10,459.40 : x
  2. Step 2: Convert to fraction form
    38,538.89/57,812.18 = 10,459.40/x
  3. Step 3: Cross multiply
    38,538.89x = 57,812.18 × 10,459.40
  4. Step 4: Simplify right side
    38,538.89x = 604,680,374.13
  5. Step 5: Solve for x
    x = 604,680,374.13/38,538.89
  6. Step 6: Final answer
    x = 15,690.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.