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Finding the Fourth Proportional to 56,346.68, 77,755.38 and 30,848.09

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Solution

The fourth proportional to 56,346.68, 77,755.38 and 30,848.09 is: 42,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,346.68 : 77,755.38 = 30,848.09 : x
  2. Step 2: Convert to fraction form
    56,346.68/77,755.38 = 30,848.09/x
  3. Step 3: Cross multiply
    56,346.68x = 77,755.38 × 30,848.09
  4. Step 4: Simplify right side
    56,346.68x = 2,398,604,960.22
  5. Step 5: Solve for x
    x = 2,398,604,960.22/56,346.68
  6. Step 6: Final answer
    x = 42,568.70

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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.