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Finding the Fourth Proportional to 32,092.19, 48,135.54 and 12,597.36

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Solution

The fourth proportional to 32,092.19, 48,135.54 and 12,597.36 is: 18,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.19 : 48,135.54 = 12,597.36 : x
  2. Step 2: Convert to fraction form
    32,092.19/48,135.54 = 12,597.36/x
  3. Step 3: Cross multiply
    32,092.19x = 48,135.54 × 12,597.36
  4. Step 4: Simplify right side
    32,092.19x = 606,380,726.17
  5. Step 5: Solve for x
    x = 606,380,726.17/32,092.19
  6. Step 6: Final answer
    x = 18,894.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.