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Finding the Fourth Proportional to 56,677.60, 85,048.80 and 21,642.40

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Solution

The fourth proportional to 56,677.60, 85,048.80 and 21,642.40 is: 32,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,677.60 : 85,048.80 = 21,642.40 : x
  2. Step 2: Convert to fraction form
    56,677.60/85,048.80 = 21,642.40/x
  3. Step 3: Cross multiply
    56,677.60x = 85,048.80 × 21,642.40
  4. Step 4: Simplify right side
    56,677.60x = 1,840,660,149.12
  5. Step 5: Solve for x
    x = 1,840,660,149.12/56,677.60
  6. Step 6: Final answer
    x = 32,475.97

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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.