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Finding the Fourth Proportional to 52,689.16, 79,046.70 and 37,137.16

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Solution

The fourth proportional to 52,689.16, 79,046.70 and 37,137.16 is: 55,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,689.16 : 79,046.70 = 37,137.16 : x
  2. Step 2: Convert to fraction form
    52,689.16/79,046.70 = 37,137.16/x
  3. Step 3: Cross multiply
    52,689.16x = 79,046.70 × 37,137.16
  4. Step 4: Simplify right side
    52,689.16x = 2,935,569,945.37
  5. Step 5: Solve for x
    x = 2,935,569,945.37/52,689.16
  6. Step 6: Final answer
    x = 55,714.87

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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.