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Finding the Fourth Proportional to 32,860.25, 49,294.46 and 12,867.16

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Solution

The fourth proportional to 32,860.25, 49,294.46 and 12,867.16 is: 19,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,860.25 : 49,294.46 = 12,867.16 : x
  2. Step 2: Convert to fraction form
    32,860.25/49,294.46 = 12,867.16/x
  3. Step 3: Cross multiply
    32,860.25x = 49,294.46 × 12,867.16
  4. Step 4: Simplify right side
    32,860.25x = 634,279,489.63
  5. Step 5: Solve for x
    x = 634,279,489.63/32,860.25
  6. Step 6: Final answer
    x = 19,302.34

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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.