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Finding the Fourth Proportional to 42,802.68, 59,068.80 and 23,680.20

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Solution

The fourth proportional to 42,802.68, 59,068.80 and 23,680.20 is: 32,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,802.68 : 59,068.80 = 23,680.20 : x
  2. Step 2: Convert to fraction form
    42,802.68/59,068.80 = 23,680.20/x
  3. Step 3: Cross multiply
    42,802.68x = 59,068.80 × 23,680.20
  4. Step 4: Simplify right side
    42,802.68x = 1,398,760,997.76
  5. Step 5: Solve for x
    x = 1,398,760,997.76/42,802.68
  6. Step 6: Final answer
    x = 32,679.29

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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.