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Finding the Fourth Proportional to 42,580.68, 58,756.86 and 24,681.30

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Solution

The fourth proportional to 42,580.68, 58,756.86 and 24,681.30 is: 34,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,580.68 : 58,756.86 = 24,681.30 : x
  2. Step 2: Convert to fraction form
    42,580.68/58,756.86 = 24,681.30/x
  3. Step 3: Cross multiply
    42,580.68x = 58,756.86 × 24,681.30
  4. Step 4: Simplify right side
    42,580.68x = 1,450,195,688.72
  5. Step 5: Solve for x
    x = 1,450,195,688.72/42,580.68
  6. Step 6: Final answer
    x = 34,057.60

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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.