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Finding the Fourth Proportional to 51,301.57, 70,776.05 and 29,787.64

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Solution

The fourth proportional to 51,301.57, 70,776.05 and 29,787.64 is: 41,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,301.57 : 70,776.05 = 29,787.64 : x
  2. Step 2: Convert to fraction form
    51,301.57/70,776.05 = 29,787.64/x
  3. Step 3: Cross multiply
    51,301.57x = 70,776.05 × 29,787.64
  4. Step 4: Simplify right side
    51,301.57x = 2,108,251,498.02
  5. Step 5: Solve for x
    x = 2,108,251,498.02/51,301.57
  6. Step 6: Final answer
    x = 41,095.26

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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.