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Finding the Fourth Proportional to 42,520.68, 58,678.74 and 23,657.76

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Solution

The fourth proportional to 42,520.68, 58,678.74 and 23,657.76 is: 32,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,520.68 : 58,678.74 = 23,657.76 : x
  2. Step 2: Convert to fraction form
    42,520.68/58,678.74 = 23,657.76/x
  3. Step 3: Cross multiply
    42,520.68x = 58,678.74 × 23,657.76
  4. Step 4: Simplify right side
    42,520.68x = 1,388,207,548.02
  5. Step 5: Solve for x
    x = 1,388,207,548.02/42,520.68
  6. Step 6: Final answer
    x = 32,647.82

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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.