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Finding the Fourth Proportional to 76,411.52, 114,468.17 and 50,036.30

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Solution

The fourth proportional to 76,411.52, 114,468.17 and 50,036.30 is: 74,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.52 : 114,468.17 = 50,036.30 : x
  2. Step 2: Convert to fraction form
    76,411.52/114,468.17 = 50,036.30/x
  3. Step 3: Cross multiply
    76,411.52x = 114,468.17 × 50,036.30
  4. Step 4: Simplify right side
    76,411.52x = 5,727,563,582.76
  5. Step 5: Solve for x
    x = 5,727,563,582.76/76,411.52
  6. Step 6: Final answer
    x = 74,956.81

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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.