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Finding the Fourth Proportional to 109,917.80, 164,776.80 and 39,747.50

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Solution

The fourth proportional to 109,917.80, 164,776.80 and 39,747.50 is: 59,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,917.80 : 164,776.80 = 39,747.50 : x
  2. Step 2: Convert to fraction form
    109,917.80/164,776.80 = 39,747.50/x
  3. Step 3: Cross multiply
    109,917.80x = 164,776.80 × 39,747.50
  4. Step 4: Simplify right side
    109,917.80x = 6,549,465,858
  5. Step 5: Solve for x
    x = 6,549,465,858/109,917.80
  6. Step 6: Final answer
    x = 59,585.13

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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.