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Finding the Fourth Proportional to 29,406.46, 44,103.86 and 14,407.16

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Solution

The fourth proportional to 29,406.46, 44,103.86 and 14,407.16 is: 21,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.46 : 44,103.86 = 14,407.16 : x
  2. Step 2: Convert to fraction form
    29,406.46/44,103.86 = 14,407.16/x
  3. Step 3: Cross multiply
    29,406.46x = 44,103.86 × 14,407.16
  4. Step 4: Simplify right side
    29,406.46x = 635,411,367.64
  5. Step 5: Solve for x
    x = 635,411,367.64/29,406.46
  6. Step 6: Final answer
    x = 21,607.88

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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.