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Finding the Fourth Proportional to 52,971.62, 73,100.86 and 29,098.70

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Solution

The fourth proportional to 52,971.62, 73,100.86 and 29,098.70 is: 40,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,971.62 : 73,100.86 = 29,098.70 : x
  2. Step 2: Convert to fraction form
    52,971.62/73,100.86 = 29,098.70/x
  3. Step 3: Cross multiply
    52,971.62x = 73,100.86 × 29,098.70
  4. Step 4: Simplify right side
    52,971.62x = 2,127,139,994.88
  5. Step 5: Solve for x
    x = 2,127,139,994.88/52,971.62
  6. Step 6: Final answer
    x = 40,156.22

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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.