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Finding the Fourth Proportional to 31,774.65, 43,848.88 and 17,627.50

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Solution

The fourth proportional to 31,774.65, 43,848.88 and 17,627.50 is: 24,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.65 : 43,848.88 = 17,627.50 : x
  2. Step 2: Convert to fraction form
    31,774.65/43,848.88 = 17,627.50/x
  3. Step 3: Cross multiply
    31,774.65x = 43,848.88 × 17,627.50
  4. Step 4: Simplify right side
    31,774.65x = 772,946,132.20
  5. Step 5: Solve for x
    x = 772,946,132.20/31,774.65
  6. Step 6: Final answer
    x = 24,325.87

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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.