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Finding the Fourth Proportional to 52,280.90, 78,357.12 and 24,162.90

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Solution

The fourth proportional to 52,280.90, 78,357.12 and 24,162.90 is: 36,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,280.90 : 78,357.12 = 24,162.90 : x
  2. Step 2: Convert to fraction form
    52,280.90/78,357.12 = 24,162.90/x
  3. Step 3: Cross multiply
    52,280.90x = 78,357.12 × 24,162.90
  4. Step 4: Simplify right side
    52,280.90x = 1,893,335,254.85
  5. Step 5: Solve for x
    x = 1,893,335,254.85/52,280.90
  6. Step 6: Final answer
    x = 36,214.66

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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.