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Finding the Fourth Proportional to 53,456.47, 73,759.98 and 34,339.66

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Solution

The fourth proportional to 53,456.47, 73,759.98 and 34,339.66 is: 47,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,456.47 : 73,759.98 = 34,339.66 : x
  2. Step 2: Convert to fraction form
    53,456.47/73,759.98 = 34,339.66/x
  3. Step 3: Cross multiply
    53,456.47x = 73,759.98 × 34,339.66
  4. Step 4: Simplify right side
    53,456.47x = 2,532,892,634.81
  5. Step 5: Solve for x
    x = 2,532,892,634.81/53,456.47
  6. Step 6: Final answer
    x = 47,382.34

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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.