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Finding the Fourth Proportional to 44,008.14, 65,978.19 and 14,407.50

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Solution

The fourth proportional to 44,008.14, 65,978.19 and 14,407.50 is: 21,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,008.14 : 65,978.19 = 14,407.50 : x
  2. Step 2: Convert to fraction form
    44,008.14/65,978.19 = 14,407.50/x
  3. Step 3: Cross multiply
    44,008.14x = 65,978.19 × 14,407.50
  4. Step 4: Simplify right side
    44,008.14x = 950,580,772.43
  5. Step 5: Solve for x
    x = 950,580,772.43/44,008.14
  6. Step 6: Final answer
    x = 21,600.11

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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.