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Finding the Fourth Proportional to 40,468.50, 55,853.82 and 23,701.50

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Solution

The fourth proportional to 40,468.50, 55,853.82 and 23,701.50 is: 32,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,468.50 : 55,853.82 = 23,701.50 : x
  2. Step 2: Convert to fraction form
    40,468.50/55,853.82 = 23,701.50/x
  3. Step 3: Cross multiply
    40,468.50x = 55,853.82 × 23,701.50
  4. Step 4: Simplify right side
    40,468.50x = 1,323,819,314.73
  5. Step 5: Solve for x
    x = 1,323,819,314.73/40,468.50
  6. Step 6: Final answer
    x = 32,712.34

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1.5x scale

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.