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Finding the Fourth Proportional to 44,544, 61,470.84 and 24,672

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Solution

The fourth proportional to 44,544, 61,470.84 and 24,672 is: 34,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,544 : 61,470.84 = 24,672 : x
  2. Step 2: Convert to fraction form
    44,544/61,470.84 = 24,672/x
  3. Step 3: Cross multiply
    44,544x = 61,470.84 × 24,672
  4. Step 4: Simplify right side
    44,544x = 1,516,608,564.48
  5. Step 5: Solve for x
    x = 1,516,608,564.48/44,544
  6. Step 6: Final answer
    x = 34,047.43

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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.