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Finding the Fourth Proportional to 55,926, 77,178.14 and 32,054.08

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Solution

The fourth proportional to 55,926, 77,178.14 and 32,054.08 is: 44,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,926 : 77,178.14 = 32,054.08 : x
  2. Step 2: Convert to fraction form
    55,926/77,178.14 = 32,054.08/x
  3. Step 3: Cross multiply
    55,926x = 77,178.14 × 32,054.08
  4. Step 4: Simplify right side
    55,926x = 2,473,874,273.81
  5. Step 5: Solve for x
    x = 2,473,874,273.81/55,926
  6. Step 6: Final answer
    x = 44,234.78

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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.