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Finding the Fourth Proportional to 42,950.66, 59,274.87 and 24,089

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Solution

The fourth proportional to 42,950.66, 59,274.87 and 24,089 is: 33,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,950.66 : 59,274.87 = 24,089 : x
  2. Step 2: Convert to fraction form
    42,950.66/59,274.87 = 24,089/x
  3. Step 3: Cross multiply
    42,950.66x = 59,274.87 × 24,089
  4. Step 4: Simplify right side
    42,950.66x = 1,427,872,343.43
  5. Step 5: Solve for x
    x = 1,427,872,343.43/42,950.66
  6. Step 6: Final answer
    x = 33,244.48

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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.