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Finding the Fourth Proportional to 70,921.90, 106,292.40 and 37,657.90

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Solution

The fourth proportional to 70,921.90, 106,292.40 and 37,657.90 is: 56,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,921.90 : 106,292.40 = 37,657.90 : x
  2. Step 2: Convert to fraction form
    70,921.90/106,292.40 = 37,657.90/x
  3. Step 3: Cross multiply
    70,921.90x = 106,292.40 × 37,657.90
  4. Step 4: Simplify right side
    70,921.90x = 4,002,748,569.96
  5. Step 5: Solve for x
    x = 4,002,748,569.96/70,921.90
  6. Step 6: Final answer
    x = 56,438.82

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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.