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Finding the Fourth Proportional to 55,681.56, 76,840.44 and 30,531

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Solution

The fourth proportional to 55,681.56, 76,840.44 and 30,531 is: 42,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,681.56 : 76,840.44 = 30,531 : x
  2. Step 2: Convert to fraction form
    55,681.56/76,840.44 = 30,531/x
  3. Step 3: Cross multiply
    55,681.56x = 76,840.44 × 30,531
  4. Step 4: Simplify right side
    55,681.56x = 2,346,015,473.64
  5. Step 5: Solve for x
    x = 2,346,015,473.64/55,681.56
  6. Step 6: Final answer
    x = 42,132.72

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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.