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Finding the Fourth Proportional to 56,248.20, 84,373.83 and 24,642

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Solution

The fourth proportional to 56,248.20, 84,373.83 and 24,642 is: 36,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,248.20 : 84,373.83 = 24,642 : x
  2. Step 2: Convert to fraction form
    56,248.20/84,373.83 = 24,642/x
  3. Step 3: Cross multiply
    56,248.20x = 84,373.83 × 24,642
  4. Step 4: Simplify right side
    56,248.20x = 2,079,139,918.86
  5. Step 5: Solve for x
    x = 2,079,139,918.86/56,248.20
  6. Step 6: Final answer
    x = 36,963.67

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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.