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Finding the Fourth Proportional to 64,878.31, 89,540.67 and 38,031.40

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Solution

The fourth proportional to 64,878.31, 89,540.67 and 38,031.40 is: 52,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,878.31 : 89,540.67 = 38,031.40 : x
  2. Step 2: Convert to fraction form
    64,878.31/89,540.67 = 38,031.40/x
  3. Step 3: Cross multiply
    64,878.31x = 89,540.67 × 38,031.40
  4. Step 4: Simplify right side
    64,878.31x = 3,405,357,037.04
  5. Step 5: Solve for x
    x = 3,405,357,037.04/64,878.31
  6. Step 6: Final answer
    x = 52,488.37

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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.