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Finding the Fourth Proportional to 32,098.12, 44,294.58 and 17,758.49

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Solution

The fourth proportional to 32,098.12, 44,294.58 and 17,758.49 is: 24,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.12 : 44,294.58 = 17,758.49 : x
  2. Step 2: Convert to fraction form
    32,098.12/44,294.58 = 17,758.49/x
  3. Step 3: Cross multiply
    32,098.12x = 44,294.58 × 17,758.49
  4. Step 4: Simplify right side
    32,098.12x = 786,604,634.51
  5. Step 5: Solve for x
    x = 786,604,634.51/32,098.12
  6. Step 6: Final answer
    x = 24,506.25

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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.