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Finding the Fourth Proportional to 32,563, 48,846.38 and 12,572.58

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Solution

The fourth proportional to 32,563, 48,846.38 and 12,572.58 is: 18,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563 : 48,846.38 = 12,572.58 : x
  2. Step 2: Convert to fraction form
    32,563/48,846.38 = 12,572.58/x
  3. Step 3: Cross multiply
    32,563x = 48,846.38 × 12,572.58
  4. Step 4: Simplify right side
    32,563x = 614,125,020.26
  5. Step 5: Solve for x
    x = 614,125,020.26/32,563
  6. Step 6: Final answer
    x = 18,859.60

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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.