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Finding the Fourth Proportional to 56,249.92, 77,628 and 31,098.88

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Solution

The fourth proportional to 56,249.92, 77,628 and 31,098.88 is: 42,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,249.92 : 77,628 = 31,098.88 : x
  2. Step 2: Convert to fraction form
    56,249.92/77,628 = 31,098.88/x
  3. Step 3: Cross multiply
    56,249.92x = 77,628 × 31,098.88
  4. Step 4: Simplify right side
    56,249.92x = 2,414,143,856.64
  5. Step 5: Solve for x
    x = 2,414,143,856.64/56,249.92
  6. Step 6: Final answer
    x = 42,918.17

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1.5x scale

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.