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Finding the Fourth Proportional to 56,203.71, 84,232.89 and 42,052.71

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Solution

The fourth proportional to 56,203.71, 84,232.89 and 42,052.71 is: 63,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,203.71 : 84,232.89 = 42,052.71 : x
  2. Step 2: Convert to fraction form
    56,203.71/84,232.89 = 42,052.71/x
  3. Step 3: Cross multiply
    56,203.71x = 84,232.89 × 42,052.71
  4. Step 4: Simplify right side
    56,203.71x = 3,542,221,295.63
  5. Step 5: Solve for x
    x = 3,542,221,295.63/56,203.71
  6. Step 6: Final answer
    x = 63,024.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.