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Finding the Fourth Proportional to 99,769.32, 137,681.38 and 55,057

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Solution

The fourth proportional to 99,769.32, 137,681.38 and 55,057 is: 75,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769.32 : 137,681.38 = 55,057 : x
  2. Step 2: Convert to fraction form
    99,769.32/137,681.38 = 55,057/x
  3. Step 3: Cross multiply
    99,769.32x = 137,681.38 × 55,057
  4. Step 4: Simplify right side
    99,769.32x = 7,580,323,738.66
  5. Step 5: Solve for x
    x = 7,580,323,738.66/99,769.32
  6. Step 6: Final answer
    x = 75,978.50

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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.