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Finding the Fourth Proportional to 48,297, 66,650.10 and 28,167.84

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Solution

The fourth proportional to 48,297, 66,650.10 and 28,167.84 is: 38,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,297 : 66,650.10 = 28,167.84 : x
  2. Step 2: Convert to fraction form
    48,297/66,650.10 = 28,167.84/x
  3. Step 3: Cross multiply
    48,297x = 66,650.10 × 28,167.84
  4. Step 4: Simplify right side
    48,297x = 1,877,389,352.78
  5. Step 5: Solve for x
    x = 1,877,389,352.78/48,297
  6. Step 6: Final answer
    x = 38,871.76

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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.