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Finding the Fourth Proportional to 55,641.25, 76,784.96 and 30,490.75

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Solution

The fourth proportional to 55,641.25, 76,784.96 and 30,490.75 is: 42,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,641.25 : 76,784.96 = 30,490.75 : x
  2. Step 2: Convert to fraction form
    55,641.25/76,784.96 = 30,490.75/x
  3. Step 3: Cross multiply
    55,641.25x = 76,784.96 × 30,490.75
  4. Step 4: Simplify right side
    55,641.25x = 2,341,231,019.12
  5. Step 5: Solve for x
    x = 2,341,231,019.12/55,641.25
  6. Step 6: Final answer
    x = 42,077.25

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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.