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Finding the Fourth Proportional to 55,707.75, 83,565.27 and 24,543

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Solution

The fourth proportional to 55,707.75, 83,565.27 and 24,543 is: 36,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,707.75 : 83,565.27 = 24,543 : x
  2. Step 2: Convert to fraction form
    55,707.75/83,565.27 = 24,543/x
  3. Step 3: Cross multiply
    55,707.75x = 83,565.27 × 24,543
  4. Step 4: Simplify right side
    55,707.75x = 2,050,942,421.61
  5. Step 5: Solve for x
    x = 2,050,942,421.61/55,707.75
  6. Step 6: Final answer
    x = 36,816.11

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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.