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Finding the Fourth Proportional to 48,297, 72,452.26 and 45,641

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Solution

The fourth proportional to 48,297, 72,452.26 and 45,641 is: 68,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,297 : 72,452.26 = 45,641 : x
  2. Step 2: Convert to fraction form
    48,297/72,452.26 = 45,641/x
  3. Step 3: Cross multiply
    48,297x = 72,452.26 × 45,641
  4. Step 4: Simplify right side
    48,297x = 3,306,793,598.66
  5. Step 5: Solve for x
    x = 3,306,793,598.66/48,297
  6. Step 6: Final answer
    x = 68,467.89

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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.