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Finding the Fourth Proportional to 101,909.86, 152,874.51 and 39,585.22

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Solution

The fourth proportional to 101,909.86, 152,874.51 and 39,585.22 is: 59,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909.86 : 152,874.51 = 39,585.22 : x
  2. Step 2: Convert to fraction form
    101,909.86/152,874.51 = 39,585.22/x
  3. Step 3: Cross multiply
    101,909.86x = 152,874.51 × 39,585.22
  4. Step 4: Simplify right side
    101,909.86x = 6,051,571,110.74
  5. Step 5: Solve for x
    x = 6,051,571,110.74/101,909.86
  6. Step 6: Final answer
    x = 59,381.61

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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.