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Finding the Fourth Proportional to 52,971.64, 73,100.84 and 29,098.72

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Solution

The fourth proportional to 52,971.64, 73,100.84 and 29,098.72 is: 40,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,971.64 : 73,100.84 = 29,098.72 : x
  2. Step 2: Convert to fraction form
    52,971.64/73,100.84 = 29,098.72/x
  3. Step 3: Cross multiply
    52,971.64x = 73,100.84 × 29,098.72
  4. Step 4: Simplify right side
    52,971.64x = 2,127,140,874.92
  5. Step 5: Solve for x
    x = 2,127,140,874.92/52,971.64
  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.