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Finding the Fourth Proportional to 101,341.86, 152,029.31 and 31,221.17

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Solution

The fourth proportional to 101,341.86, 152,029.31 and 31,221.17 is: 46,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,341.86 : 152,029.31 = 31,221.17 : x
  2. Step 2: Convert to fraction form
    101,341.86/152,029.31 = 31,221.17/x
  3. Step 3: Cross multiply
    101,341.86x = 152,029.31 × 31,221.17
  4. Step 4: Simplify right side
    101,341.86x = 4,746,533,013.93
  5. Step 5: Solve for x
    x = 4,746,533,013.93/101,341.86
  6. Step 6: Final answer
    x = 46,836.85

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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.