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Finding the Fourth Proportional to 56,204.84, 77,560.38 and 30,712.10

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Solution

The fourth proportional to 56,204.84, 77,560.38 and 30,712.10 is: 42,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,204.84 : 77,560.38 = 30,712.10 : x
  2. Step 2: Convert to fraction form
    56,204.84/77,560.38 = 30,712.10/x
  3. Step 3: Cross multiply
    56,204.84x = 77,560.38 × 30,712.10
  4. Step 4: Simplify right side
    56,204.84x = 2,382,042,146.60
  5. Step 5: Solve for x
    x = 2,382,042,146.60/56,204.84
  6. Step 6: Final answer
    x = 42,381.44

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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.