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Finding the Fourth Proportional to 56,018.26, 77,301.57 and 30,867.76

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Solution

The fourth proportional to 56,018.26, 77,301.57 and 30,867.76 is: 42,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,018.26 : 77,301.57 = 30,867.76 : x
  2. Step 2: Convert to fraction form
    56,018.26/77,301.57 = 30,867.76/x
  3. Step 3: Cross multiply
    56,018.26x = 77,301.57 × 30,867.76
  4. Step 4: Simplify right side
    56,018.26x = 2,386,126,310.38
  5. Step 5: Solve for x
    x = 2,386,126,310.38/56,018.26
  6. Step 6: Final answer
    x = 42,595.51

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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.