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Finding the Fourth Proportional to 42,648.61, 63,971.07 and 14,571.17

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Solution

The fourth proportional to 42,648.61, 63,971.07 and 14,571.17 is: 21,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,648.61 : 63,971.07 = 14,571.17 : x
  2. Step 2: Convert to fraction form
    42,648.61/63,971.07 = 14,571.17/x
  3. Step 3: Cross multiply
    42,648.61x = 63,971.07 × 14,571.17
  4. Step 4: Simplify right side
    42,648.61x = 932,133,336.05
  5. Step 5: Solve for x
    x = 932,133,336.05/42,648.61
  6. Step 6: Final answer
    x = 21,856.12

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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.