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Finding the Fourth Proportional to 56,140.38, 77,476.01 and 30,648.46

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Solution

The fourth proportional to 56,140.38, 77,476.01 and 30,648.46 is: 42,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,140.38 : 77,476.01 = 30,648.46 : x
  2. Step 2: Convert to fraction form
    56,140.38/77,476.01 = 30,648.46/x
  3. Step 3: Cross multiply
    56,140.38x = 77,476.01 × 30,648.46
  4. Step 4: Simplify right side
    56,140.38x = 2,374,520,393.44
  5. Step 5: Solve for x
    x = 2,374,520,393.44/56,140.38
  6. Step 6: Final answer
    x = 42,296.12

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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.