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Finding the Fourth Proportional to 52,323.58, 78,380.16 and 24,204.16

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Solution

The fourth proportional to 52,323.58, 78,380.16 and 24,204.16 is: 36,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,323.58 : 78,380.16 = 24,204.16 : x
  2. Step 2: Convert to fraction form
    52,323.58/78,380.16 = 24,204.16/x
  3. Step 3: Cross multiply
    52,323.58x = 78,380.16 × 24,204.16
  4. Step 4: Simplify right side
    52,323.58x = 1,897,125,933.47
  5. Step 5: Solve for x
    x = 1,897,125,933.47/52,323.58
  6. Step 6: Final answer
    x = 36,257.57

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1.5x scale

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.