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Finding the Fourth Proportional to 54,707.58, 82,061.34 and 13,154.58

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Solution

The fourth proportional to 54,707.58, 82,061.34 and 13,154.58 is: 19,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,707.58 : 82,061.34 = 13,154.58 : x
  2. Step 2: Convert to fraction form
    54,707.58/82,061.34 = 13,154.58/x
  3. Step 3: Cross multiply
    54,707.58x = 82,061.34 × 13,154.58
  4. Step 4: Simplify right side
    54,707.58x = 1,079,482,461.94
  5. Step 5: Solve for x
    x = 1,079,482,461.94/54,707.58
  6. Step 6: Final answer
    x = 19,731.86

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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.