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Finding the Fourth Proportional to 56,279.74, 77,663.14 and 30,781.14

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Solution

The fourth proportional to 56,279.74, 77,663.14 and 30,781.14 is: 42,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,279.74 : 77,663.14 = 30,781.14 : x
  2. Step 2: Convert to fraction form
    56,279.74/77,663.14 = 30,781.14/x
  3. Step 3: Cross multiply
    56,279.74x = 77,663.14 × 30,781.14
  4. Step 4: Simplify right side
    56,279.74x = 2,390,559,908.23
  5. Step 5: Solve for x
    x = 2,390,559,908.23/56,279.74
  6. Step 6: Final answer
    x = 42,476.39

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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.