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Finding the Fourth Proportional to 32,223.97, 44,497.32 and 20,145.10

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Solution

The fourth proportional to 32,223.97, 44,497.32 and 20,145.10 is: 27,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,223.97 : 44,497.32 = 20,145.10 : x
  2. Step 2: Convert to fraction form
    32,223.97/44,497.32 = 20,145.10/x
  3. Step 3: Cross multiply
    32,223.97x = 44,497.32 × 20,145.10
  4. Step 4: Simplify right side
    32,223.97x = 896,402,925.43
  5. Step 5: Solve for x
    x = 896,402,925.43/32,223.97
  6. Step 6: Final answer
    x = 27,817.89

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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.