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Finding the Fourth Proportional to 29,681.54, 44,527.16 and 14,093.90

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Solution

The fourth proportional to 29,681.54, 44,527.16 and 14,093.90 is: 21,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,681.54 : 44,527.16 = 14,093.90 : x
  2. Step 2: Convert to fraction form
    29,681.54/44,527.16 = 14,093.90/x
  3. Step 3: Cross multiply
    29,681.54x = 44,527.16 × 14,093.90
  4. Step 4: Simplify right side
    29,681.54x = 627,561,152.92
  5. Step 5: Solve for x
    x = 627,561,152.92/29,681.54
  6. Step 6: Final answer
    x = 21,143.15

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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.