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Finding the Fourth Proportional to 42,031.53, 58,012.02 and 24,138.81

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Solution

The fourth proportional to 42,031.53, 58,012.02 and 24,138.81 is: 33,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,031.53 : 58,012.02 = 24,138.81 : x
  2. Step 2: Convert to fraction form
    42,031.53/58,012.02 = 24,138.81/x
  3. Step 3: Cross multiply
    42,031.53x = 58,012.02 × 24,138.81
  4. Step 4: Simplify right side
    42,031.53x = 1,400,341,128.50
  5. Step 5: Solve for x
    x = 1,400,341,128.50/42,031.53
  6. Step 6: Final answer
    x = 33,316.44

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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.