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Finding the Fourth Proportional to 70,702.72, 106,031.53 and 23,308.98

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Solution

The fourth proportional to 70,702.72, 106,031.53 and 23,308.98 is: 34,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,702.72 : 106,031.53 = 23,308.98 : x
  2. Step 2: Convert to fraction form
    70,702.72/106,031.53 = 23,308.98/x
  3. Step 3: Cross multiply
    70,702.72x = 106,031.53 × 23,308.98
  4. Step 4: Simplify right side
    70,702.72x = 2,471,486,812.14
  5. Step 5: Solve for x
    x = 2,471,486,812.14/70,702.72
  6. Step 6: Final answer
    x = 34,956.04

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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.