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Finding the Fourth Proportional to 32,590.12, 44,974.14 and 17,686.12

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Solution

The fourth proportional to 32,590.12, 44,974.14 and 17,686.12 is: 24,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,590.12 : 44,974.14 = 17,686.12 : x
  2. Step 2: Convert to fraction form
    32,590.12/44,974.14 = 17,686.12/x
  3. Step 3: Cross multiply
    32,590.12x = 44,974.14 × 17,686.12
  4. Step 4: Simplify right side
    32,590.12x = 795,418,036.94
  5. Step 5: Solve for x
    x = 795,418,036.94/32,590.12
  6. Step 6: Final answer
    x = 24,406.72

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