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Finding the Fourth Proportional to 70,031.52, 105,019.86 and 24,427.70

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Solution

The fourth proportional to 70,031.52, 105,019.86 and 24,427.70 is: 36,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.52 : 105,019.86 = 24,427.70 : x
  2. Step 2: Convert to fraction form
    70,031.52/105,019.86 = 24,427.70/x
  3. Step 3: Cross multiply
    70,031.52x = 105,019.86 × 24,427.70
  4. Step 4: Simplify right side
    70,031.52x = 2,565,393,634.12
  5. Step 5: Solve for x
    x = 2,565,393,634.12/70,031.52
  6. Step 6: Final answer
    x = 36,631.99

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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.