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Finding the Fourth Proportional to 38,978.84, 58,463.40 and 22,977.56

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Solution

The fourth proportional to 38,978.84, 58,463.40 and 22,977.56 is: 34,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,978.84 : 58,463.40 = 22,977.56 : x
  2. Step 2: Convert to fraction form
    38,978.84/58,463.40 = 22,977.56/x
  3. Step 3: Cross multiply
    38,978.84x = 58,463.40 × 22,977.56
  4. Step 4: Simplify right side
    38,978.84x = 1,343,346,281.30
  5. Step 5: Solve for x
    x = 1,343,346,281.30/38,978.84
  6. Step 6: Final answer
    x = 34,463.48

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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.