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Finding the Fourth Proportional to 77,643.52, 107,148.02 and 44,109.52

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Solution

The fourth proportional to 77,643.52, 107,148.02 and 44,109.52 is: 60,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643.52 : 107,148.02 = 44,109.52 : x
  2. Step 2: Convert to fraction form
    77,643.52/107,148.02 = 44,109.52/x
  3. Step 3: Cross multiply
    77,643.52x = 107,148.02 × 44,109.52
  4. Step 4: Simplify right side
    77,643.52x = 4,726,247,731.15
  5. Step 5: Solve for x
    x = 4,726,247,731.15/77,643.52
  6. Step 6: Final answer
    x = 60,871.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.