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Finding the Fourth Proportional to 52,651.85, 78,966.12 and 15,203.77

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Solution

The fourth proportional to 52,651.85, 78,966.12 and 15,203.77 is: 22,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,651.85 : 78,966.12 = 15,203.77 : x
  2. Step 2: Convert to fraction form
    52,651.85/78,966.12 = 15,203.77/x
  3. Step 3: Cross multiply
    52,651.85x = 78,966.12 × 15,203.77
  4. Step 4: Simplify right side
    52,651.85x = 1,200,582,650.25
  5. Step 5: Solve for x
    x = 1,200,582,650.25/52,651.85
  6. Step 6: Final answer
    x = 22,802.29

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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.