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Finding the Fourth Proportional to 35,545.64, 53,314.20 and 10,585.49

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Solution

The fourth proportional to 35,545.64, 53,314.20 and 10,585.49 is: 15,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,545.64 : 53,314.20 = 10,585.49 : x
  2. Step 2: Convert to fraction form
    35,545.64/53,314.20 = 10,585.49/x
  3. Step 3: Cross multiply
    35,545.64x = 53,314.20 × 10,585.49
  4. Step 4: Simplify right side
    35,545.64x = 564,356,664.39
  5. Step 5: Solve for x
    x = 564,356,664.39/35,545.64
  6. Step 6: Final answer
    x = 15,876.96

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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.