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Finding the Fourth Proportional to 54,875.34, 75,731.76 and 33,373.49

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Solution

The fourth proportional to 54,875.34, 75,731.76 and 33,373.49 is: 46,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,875.34 : 75,731.76 = 33,373.49 : x
  2. Step 2: Convert to fraction form
    54,875.34/75,731.76 = 33,373.49/x
  3. Step 3: Cross multiply
    54,875.34x = 75,731.76 × 33,373.49
  4. Step 4: Simplify right side
    54,875.34x = 2,527,432,756.38
  5. Step 5: Solve for x
    x = 2,527,432,756.38/54,875.34
  6. Step 6: Final answer
    x = 46,057.71

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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.