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Finding the Fourth Proportional to 40,432.40, 56,722 and 40,432.40

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Solution

The fourth proportional to 40,432.40, 56,722 and 40,432.40 is: 56,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,432.40 : 56,722 = 40,432.40 : x
  2. Step 2: Convert to fraction form
    40,432.40/56,722 = 40,432.40/x
  3. Step 3: Cross multiply
    40,432.40x = 56,722 × 40,432.40
  4. Step 4: Simplify right side
    40,432.40x = 2,293,406,592.80
  5. Step 5: Solve for x
    x = 2,293,406,592.80/40,432.40
  6. Step 6: Final answer
    x = 56,722

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.