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Finding the Fourth Proportional to 107,031.44, 147,711.72 and 59,289.32

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Solution

The fourth proportional to 107,031.44, 147,711.72 and 59,289.32 is: 81,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,031.44 : 147,711.72 = 59,289.32 : x
  2. Step 2: Convert to fraction form
    107,031.44/147,711.72 = 59,289.32/x
  3. Step 3: Cross multiply
    107,031.44x = 147,711.72 × 59,289.32
  4. Step 4: Simplify right side
    107,031.44x = 8,757,727,434.83
  5. Step 5: Solve for x
    x = 8,757,727,434.83/107,031.44
  6. Step 6: Final answer
    x = 81,823.88

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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.