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Finding the Fourth Proportional to 42,498.28, 58,649.70 and 23,635

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Solution

The fourth proportional to 42,498.28, 58,649.70 and 23,635 is: 32,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,498.28 : 58,649.70 = 23,635 : x
  2. Step 2: Convert to fraction form
    42,498.28/58,649.70 = 23,635/x
  3. Step 3: Cross multiply
    42,498.28x = 58,649.70 × 23,635
  4. Step 4: Simplify right side
    42,498.28x = 1,386,185,659.50
  5. Step 5: Solve for x
    x = 1,386,185,659.50/42,498.28
  6. Step 6: Final answer
    x = 32,617.45

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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.