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Finding the Fourth Proportional to 44,577.56, 66,864.72 and 13,412

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Solution

The fourth proportional to 44,577.56, 66,864.72 and 13,412 is: 20,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,577.56 : 66,864.72 = 13,412 : x
  2. Step 2: Convert to fraction form
    44,577.56/66,864.72 = 13,412/x
  3. Step 3: Cross multiply
    44,577.56x = 66,864.72 × 13,412
  4. Step 4: Simplify right side
    44,577.56x = 896,789,624.64
  5. Step 5: Solve for x
    x = 896,789,624.64/44,577.56
  6. Step 6: Final answer
    x = 20,117.51

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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.