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Finding the Fourth Proportional to 53,379.84, 80,098.31 and 34,655.47

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Solution

The fourth proportional to 53,379.84, 80,098.31 and 34,655.47 is: 52,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,379.84 : 80,098.31 = 34,655.47 : x
  2. Step 2: Convert to fraction form
    53,379.84/80,098.31 = 34,655.47/x
  3. Step 3: Cross multiply
    53,379.84x = 80,098.31 × 34,655.47
  4. Step 4: Simplify right side
    53,379.84x = 2,775,844,405.98
  5. Step 5: Solve for x
    x = 2,775,844,405.98/53,379.84
  6. Step 6: Final answer
    x = 52,001.74

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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.