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Finding the Fourth Proportional to 65,952, 91,013.76 and 36,143.36

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Solution

The fourth proportional to 65,952, 91,013.76 and 36,143.36 is: 49,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952 : 91,013.76 = 36,143.36 : x
  2. Step 2: Convert to fraction form
    65,952/91,013.76 = 36,143.36/x
  3. Step 3: Cross multiply
    65,952x = 91,013.76 × 36,143.36
  4. Step 4: Simplify right side
    65,952x = 3,289,543,092.63
  5. Step 5: Solve for x
    x = 3,289,543,092.63/65,952
  6. Step 6: Final answer
    x = 49,877.84

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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.