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Finding the Fourth Proportional to 57,501, 85,897.80 and 41,569.92

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Solution

The fourth proportional to 57,501, 85,897.80 and 41,569.92 is: 62,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,501 : 85,897.80 = 41,569.92 : x
  2. Step 2: Convert to fraction form
    57,501/85,897.80 = 41,569.92/x
  3. Step 3: Cross multiply
    57,501x = 85,897.80 × 41,569.92
  4. Step 4: Simplify right side
    57,501x = 3,570,764,674.18
  5. Step 5: Solve for x
    x = 3,570,764,674.18/57,501
  6. Step 6: Final answer
    x = 62,099.18

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Why These Related Problems?

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