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Finding the Fourth Proportional to 116,812.86, 175,200.11 and 32,578.74

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Solution

The fourth proportional to 116,812.86, 175,200.11 and 32,578.74 is: 48,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,812.86 : 175,200.11 = 32,578.74 : x
  2. Step 2: Convert to fraction form
    116,812.86/175,200.11 = 32,578.74/x
  3. Step 3: Cross multiply
    116,812.86x = 175,200.11 × 32,578.74
  4. Step 4: Simplify right side
    116,812.86x = 5,707,798,913.11
  5. Step 5: Solve for x
    x = 5,707,798,913.11/116,812.86
  6. Step 6: Final answer
    x = 48,862.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.