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Finding the Fourth Proportional to 52,321.58, 78,377.16 and 24,202.16

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Solution

The fourth proportional to 52,321.58, 78,377.16 and 24,202.16 is: 36,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,321.58 : 78,377.16 = 24,202.16 : x
  2. Step 2: Convert to fraction form
    52,321.58/78,377.16 = 24,202.16/x
  3. Step 3: Cross multiply
    52,321.58x = 78,377.16 × 24,202.16
  4. Step 4: Simplify right side
    52,321.58x = 1,896,896,566.67
  5. Step 5: Solve for x
    x = 1,896,896,566.67/52,321.58
  6. Step 6: Final answer
    x = 36,254.57

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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.