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Finding the Fourth Proportional to 39,854.74, 54,985.17 and 26,432.50

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Solution

The fourth proportional to 39,854.74, 54,985.17 and 26,432.50 is: 36,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,854.74 : 54,985.17 = 26,432.50 : x
  2. Step 2: Convert to fraction form
    39,854.74/54,985.17 = 26,432.50/x
  3. Step 3: Cross multiply
    39,854.74x = 54,985.17 × 26,432.50
  4. Step 4: Simplify right side
    39,854.74x = 1,453,395,506.03
  5. Step 5: Solve for x
    x = 1,453,395,506.03/39,854.74
  6. Step 6: Final answer
    x = 36,467.32

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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.