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Finding the Fourth Proportional to 46,197.89, 63,753.08 and 24,977.15

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Solution

The fourth proportional to 46,197.89, 63,753.08 and 24,977.15 is: 34,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,197.89 : 63,753.08 = 24,977.15 : x
  2. Step 2: Convert to fraction form
    46,197.89/63,753.08 = 24,977.15/x
  3. Step 3: Cross multiply
    46,197.89x = 63,753.08 × 24,977.15
  4. Step 4: Simplify right side
    46,197.89x = 1,592,370,276.62
  5. Step 5: Solve for x
    x = 1,592,370,276.62/46,197.89
  6. Step 6: Final answer
    x = 34,468.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.