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Finding the Fourth Proportional to 55,758.52, 76,945.98 and 34,543

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Solution

The fourth proportional to 55,758.52, 76,945.98 and 34,543 is: 47,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758.52 : 76,945.98 = 34,543 : x
  2. Step 2: Convert to fraction form
    55,758.52/76,945.98 = 34,543/x
  3. Step 3: Cross multiply
    55,758.52x = 76,945.98 × 34,543
  4. Step 4: Simplify right side
    55,758.52x = 2,657,944,987.14
  5. Step 5: Solve for x
    x = 2,657,944,987.14/55,758.52
  6. Step 6: Final answer
    x = 47,668.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.