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Finding the Fourth Proportional to 38,482.68, 57,727.98 and 10,402.89

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Solution

The fourth proportional to 38,482.68, 57,727.98 and 10,402.89 is: 15,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482.68 : 57,727.98 = 10,402.89 : x
  2. Step 2: Convert to fraction form
    38,482.68/57,727.98 = 10,402.89/x
  3. Step 3: Cross multiply
    38,482.68x = 57,727.98 × 10,402.89
  4. Step 4: Simplify right side
    38,482.68x = 600,537,825.86
  5. Step 5: Solve for x
    x = 600,537,825.86/38,482.68
  6. Step 6: Final answer
    x = 15,605.41

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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.