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Finding the Fourth Proportional to 40,420.50, 55,780.29 and 23,653.50

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Solution

The fourth proportional to 40,420.50, 55,780.29 and 23,653.50 is: 32,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,420.50 : 55,780.29 = 23,653.50 : x
  2. Step 2: Convert to fraction form
    40,420.50/55,780.29 = 23,653.50/x
  3. Step 3: Cross multiply
    40,420.50x = 55,780.29 × 23,653.50
  4. Step 4: Simplify right side
    40,420.50x = 1,319,399,089.52
  5. Step 5: Solve for x
    x = 1,319,399,089.52/40,420.50
  6. Step 6: Final answer
    x = 32,641.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.