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Finding the Fourth Proportional to 32,809.40, 49,214.10 and 9,116.90

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Solution

The fourth proportional to 32,809.40, 49,214.10 and 9,116.90 is: 13,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.40 : 49,214.10 = 9,116.90 : x
  2. Step 2: Convert to fraction form
    32,809.40/49,214.10 = 9,116.90/x
  3. Step 3: Cross multiply
    32,809.40x = 49,214.10 × 9,116.90
  4. Step 4: Simplify right side
    32,809.40x = 448,680,028.29
  5. Step 5: Solve for x
    x = 448,680,028.29/32,809.40
  6. Step 6: Final answer
    x = 13,675.35

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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.