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Finding the Fourth Proportional to 44,147, 60,922.86 and 24,275

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Solution

The fourth proportional to 44,147, 60,922.86 and 24,275 is: 33,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,147 : 60,922.86 = 24,275 : x
  2. Step 2: Convert to fraction form
    44,147/60,922.86 = 24,275/x
  3. Step 3: Cross multiply
    44,147x = 60,922.86 × 24,275
  4. Step 4: Simplify right side
    44,147x = 1,478,902,426.50
  5. Step 5: Solve for x
    x = 1,478,902,426.50/44,147
  6. Step 6: Final answer
    x = 33,499.50

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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.