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Finding the Fourth Proportional to 52,284, 78,445.84 and 24,217.50

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Solution

The fourth proportional to 52,284, 78,445.84 and 24,217.50 is: 36,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,284 : 78,445.84 = 24,217.50 : x
  2. Step 2: Convert to fraction form
    52,284/78,445.84 = 24,217.50/x
  3. Step 3: Cross multiply
    52,284x = 78,445.84 × 24,217.50
  4. Step 4: Simplify right side
    52,284x = 1,899,762,130.20
  5. Step 5: Solve for x
    x = 1,899,762,130.20/52,284
  6. Step 6: Final answer
    x = 36,335.44

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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.