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Finding the Fourth Proportional to 42,040.48, 63,067.20 and 14,332

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Solution

The fourth proportional to 42,040.48, 63,067.20 and 14,332 is: 21,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,040.48 : 63,067.20 = 14,332 : x
  2. Step 2: Convert to fraction form
    42,040.48/63,067.20 = 14,332/x
  3. Step 3: Cross multiply
    42,040.48x = 63,067.20 × 14,332
  4. Step 4: Simplify right side
    42,040.48x = 903,879,110.40
  5. Step 5: Solve for x
    x = 903,879,110.40/42,040.48
  6. Step 6: Final answer
    x = 21,500.21

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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.