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Finding the Fourth Proportional to 32,752.84, 49,122.06 and 13,027.72

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Solution

The fourth proportional to 32,752.84, 49,122.06 and 13,027.72 is: 19,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752.84 : 49,122.06 = 13,027.72 : x
  2. Step 2: Convert to fraction form
    32,752.84/49,122.06 = 13,027.72/x
  3. Step 3: Cross multiply
    32,752.84x = 49,122.06 × 13,027.72
  4. Step 4: Simplify right side
    32,752.84x = 639,948,443.50
  5. Step 5: Solve for x
    x = 639,948,443.50/32,752.84
  6. Step 6: Final answer
    x = 19,538.72

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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.