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Finding the Fourth Proportional to 123,328.92, 185,005.86 and 34,582.68

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Solution

The fourth proportional to 123,328.92, 185,005.86 and 34,582.68 is: 51,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,328.92 : 185,005.86 = 34,582.68 : x
  2. Step 2: Convert to fraction form
    123,328.92/185,005.86 = 34,582.68/x
  3. Step 3: Cross multiply
    123,328.92x = 185,005.86 × 34,582.68
  4. Step 4: Simplify right side
    123,328.92x = 6,397,998,454.50
  5. Step 5: Solve for x
    x = 6,397,998,454.50/123,328.92
  6. Step 6: Final answer
    x = 51,877.52

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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.