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Finding the Fourth Proportional to 82,290.96, 123,159.96 and 47,178

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Solution

The fourth proportional to 82,290.96, 123,159.96 and 47,178 is: 70,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290.96 : 123,159.96 = 47,178 : x
  2. Step 2: Convert to fraction form
    82,290.96/123,159.96 = 47,178/x
  3. Step 3: Cross multiply
    82,290.96x = 123,159.96 × 47,178
  4. Step 4: Simplify right side
    82,290.96x = 5,810,440,592.88
  5. Step 5: Solve for x
    x = 5,810,440,592.88/82,290.96
  6. Step 6: Final answer
    x = 70,608.49

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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.