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Finding the Fourth Proportional to 57,837, 86,269.33 and 52,521.78

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Solution

The fourth proportional to 57,837, 86,269.33 and 52,521.78 is: 78,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,837 : 86,269.33 = 52,521.78 : x
  2. Step 2: Convert to fraction form
    57,837/86,269.33 = 52,521.78/x
  3. Step 3: Cross multiply
    57,837x = 86,269.33 × 52,521.78
  4. Step 4: Simplify right side
    57,837x = 4,531,018,508.40
  5. Step 5: Solve for x
    x = 4,531,018,508.40/57,837
  6. Step 6: Final answer
    x = 78,341.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.