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Finding the Fourth Proportional to 56,304.75, 77,701.53 and 30,813.38

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Solution

The fourth proportional to 56,304.75, 77,701.53 and 30,813.38 is: 42,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,304.75 : 77,701.53 = 30,813.38 : x
  2. Step 2: Convert to fraction form
    56,304.75/77,701.53 = 30,813.38/x
  3. Step 3: Cross multiply
    56,304.75x = 77,701.53 × 30,813.38
  4. Step 4: Simplify right side
    56,304.75x = 2,394,246,788.89
  5. Step 5: Solve for x
    x = 2,394,246,788.89/56,304.75
  6. Step 6: Final answer
    x = 42,523.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.