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Finding the Fourth Proportional to 41,762.13, 57,708.09 and 30,411.87

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Solution

The fourth proportional to 41,762.13, 57,708.09 and 30,411.87 is: 42,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,762.13 : 57,708.09 = 30,411.87 : x
  2. Step 2: Convert to fraction form
    41,762.13/57,708.09 = 30,411.87/x
  3. Step 3: Cross multiply
    41,762.13x = 57,708.09 × 30,411.87
  4. Step 4: Simplify right side
    41,762.13x = 1,755,010,931.03
  5. Step 5: Solve for x
    x = 1,755,010,931.03/41,762.13
  6. Step 6: Final answer
    x = 42,023.98

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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.