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Finding the Fourth Proportional to 42,012.90, 63,031.59 and 12,431.52

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Solution

The fourth proportional to 42,012.90, 63,031.59 and 12,431.52 is: 18,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012.90 : 63,031.59 = 12,431.52 : x
  2. Step 2: Convert to fraction form
    42,012.90/63,031.59 = 12,431.52/x
  3. Step 3: Cross multiply
    42,012.90x = 63,031.59 × 12,431.52
  4. Step 4: Simplify right side
    42,012.90x = 783,578,471.72
  5. Step 5: Solve for x
    x = 783,578,471.72/42,012.90
  6. Step 6: Final answer
    x = 18,650.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.