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Finding the Fourth Proportional to 56,293.61, 77,682.38 and 30,800.48

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Solution

The fourth proportional to 56,293.61, 77,682.38 and 30,800.48 is: 42,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,293.61 : 77,682.38 = 30,800.48 : x
  2. Step 2: Convert to fraction form
    56,293.61/77,682.38 = 30,800.48/x
  3. Step 3: Cross multiply
    56,293.61x = 77,682.38 × 30,800.48
  4. Step 4: Simplify right side
    56,293.61x = 2,392,654,049.13
  5. Step 5: Solve for x
    x = 2,392,654,049.13/56,293.61
  6. Step 6: Final answer
    x = 42,503.12

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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.