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Finding the Fourth Proportional to 65,026.53, 89,740.26 and 38,176.83

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Solution

The fourth proportional to 65,026.53, 89,740.26 and 38,176.83 is: 52,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,026.53 : 89,740.26 = 38,176.83 : x
  2. Step 2: Convert to fraction form
    65,026.53/89,740.26 = 38,176.83/x
  3. Step 3: Cross multiply
    65,026.53x = 89,740.26 × 38,176.83
  4. Step 4: Simplify right side
    65,026.53x = 3,425,998,650.18
  5. Step 5: Solve for x
    x = 3,425,998,650.18/65,026.53
  6. Step 6: Final answer
    x = 52,686.17

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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.