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Finding the Fourth Proportional to 74,491.86, 102,798.45 and 40,957.14

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Solution

The fourth proportional to 74,491.86, 102,798.45 and 40,957.14 is: 56,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,491.86 : 102,798.45 = 40,957.14 : x
  2. Step 2: Convert to fraction form
    74,491.86/102,798.45 = 40,957.14/x
  3. Step 3: Cross multiply
    74,491.86x = 102,798.45 × 40,957.14
  4. Step 4: Simplify right side
    74,491.86x = 4,210,330,508.43
  5. Step 5: Solve for x
    x = 4,210,330,508.43/74,491.86
  6. Step 6: Final answer
    x = 56,520.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.