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Finding the Fourth Proportional to 55,878, 83,827.98 and 24,713.28

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Solution

The fourth proportional to 55,878, 83,827.98 and 24,713.28 is: 37,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,878 : 83,827.98 = 24,713.28 : x
  2. Step 2: Convert to fraction form
    55,878/83,827.98 = 24,713.28/x
  3. Step 3: Cross multiply
    55,878x = 83,827.98 × 24,713.28
  4. Step 4: Simplify right side
    55,878x = 2,071,664,341.57
  5. Step 5: Solve for x
    x = 2,071,664,341.57/55,878
  6. Step 6: Final answer
    x = 37,074.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.