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Finding the Fourth Proportional to 56,022.70, 77,304.33 and 37,913.02

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Solution

The fourth proportional to 56,022.70, 77,304.33 and 37,913.02 is: 52,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,022.70 : 77,304.33 = 37,913.02 : x
  2. Step 2: Convert to fraction form
    56,022.70/77,304.33 = 37,913.02/x
  3. Step 3: Cross multiply
    56,022.70x = 77,304.33 × 37,913.02
  4. Step 4: Simplify right side
    56,022.70x = 2,930,840,609.38
  5. Step 5: Solve for x
    x = 2,930,840,609.38/56,022.70
  6. Step 6: Final answer
    x = 52,315.23

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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.