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Finding the Fourth Proportional to 71,159.88, 106,746.30 and 36,090.12

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Solution

The fourth proportional to 71,159.88, 106,746.30 and 36,090.12 is: 54,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,159.88 : 106,746.30 = 36,090.12 : x
  2. Step 2: Convert to fraction form
    71,159.88/106,746.30 = 36,090.12/x
  3. Step 3: Cross multiply
    71,159.88x = 106,746.30 × 36,090.12
  4. Step 4: Simplify right side
    71,159.88x = 3,852,486,776.56
  5. Step 5: Solve for x
    x = 3,852,486,776.56/71,159.88
  6. Step 6: Final answer
    x = 54,138.47

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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.