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Finding the Fourth Proportional to 32,162.81, 44,386.09 and 17,822.61

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Solution

The fourth proportional to 32,162.81, 44,386.09 and 17,822.61 is: 24,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.81 : 44,386.09 = 17,822.61 : x
  2. Step 2: Convert to fraction form
    32,162.81/44,386.09 = 17,822.61/x
  3. Step 3: Cross multiply
    32,162.81x = 44,386.09 × 17,822.61
  4. Step 4: Simplify right side
    32,162.81x = 791,075,905.09
  5. Step 5: Solve for x
    x = 791,075,905.09/32,162.81
  6. Step 6: Final answer
    x = 24,595.98

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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.