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Finding the Fourth Proportional to 32,862.45, 49,300.89 and 10,678.17

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Solution

The fourth proportional to 32,862.45, 49,300.89 and 10,678.17 is: 16,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.45 : 49,300.89 = 10,678.17 : x
  2. Step 2: Convert to fraction form
    32,862.45/49,300.89 = 10,678.17/x
  3. Step 3: Cross multiply
    32,862.45x = 49,300.89 × 10,678.17
  4. Step 4: Simplify right side
    32,862.45x = 526,443,284.57
  5. Step 5: Solve for x
    x = 526,443,284.57/32,862.45
  6. Step 6: Final answer
    x = 16,019.60

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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.