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Finding the Fourth Proportional to 45,447.50, 62,707.32 and 27,541.88

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Solution

The fourth proportional to 45,447.50, 62,707.32 and 27,541.88 is: 38,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,447.50 : 62,707.32 = 27,541.88 : x
  2. Step 2: Convert to fraction form
    45,447.50/62,707.32 = 27,541.88/x
  3. Step 3: Cross multiply
    45,447.50x = 62,707.32 × 27,541.88
  4. Step 4: Simplify right side
    45,447.50x = 1,727,077,482.56
  5. Step 5: Solve for x
    x = 1,727,077,482.56/45,447.50
  6. Step 6: Final answer
    x = 38,001.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.