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Finding the Fourth Proportional to 42,012.48, 63,031.08 and 12,431.10

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Solution

The fourth proportional to 42,012.48, 63,031.08 and 12,431.10 is: 18,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012.48 : 63,031.08 = 12,431.10 : x
  2. Step 2: Convert to fraction form
    42,012.48/63,031.08 = 12,431.10/x
  3. Step 3: Cross multiply
    42,012.48x = 63,031.08 × 12,431.10
  4. Step 4: Simplify right side
    42,012.48x = 783,545,658.59
  5. Step 5: Solve for x
    x = 783,545,658.59/42,012.48
  6. Step 6: Final answer
    x = 18,650.31

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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.