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Finding the Fourth Proportional to 42,447.68, 58,576.64 and 23,584.32

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Solution

The fourth proportional to 42,447.68, 58,576.64 and 23,584.32 is: 32,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,447.68 : 58,576.64 = 23,584.32 : x
  2. Step 2: Convert to fraction form
    42,447.68/58,576.64 = 23,584.32/x
  3. Step 3: Cross multiply
    42,447.68x = 58,576.64 × 23,584.32
  4. Step 4: Simplify right side
    42,447.68x = 1,381,490,222.28
  5. Step 5: Solve for x
    x = 1,381,490,222.28/42,447.68
  6. Step 6: Final answer
    x = 32,545.72

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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.