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Finding the Fourth Proportional to 56,265.95, 77,644.15 and 30,767.38

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Solution

The fourth proportional to 56,265.95, 77,644.15 and 30,767.38 is: 42,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,265.95 : 77,644.15 = 30,767.38 : x
  2. Step 2: Convert to fraction form
    56,265.95/77,644.15 = 30,767.38/x
  3. Step 3: Cross multiply
    56,265.95x = 77,644.15 × 30,767.38
  4. Step 4: Simplify right side
    56,265.95x = 2,388,906,796.80
  5. Step 5: Solve for x
    x = 2,388,906,796.80/56,265.95
  6. Step 6: Final answer
    x = 42,457.41

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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.