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Finding the Fourth Proportional to 30,582.30, 45,874.50 and 10,862.40

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Solution

The fourth proportional to 30,582.30, 45,874.50 and 10,862.40 is: 16,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.30 : 45,874.50 = 10,862.40 : x
  2. Step 2: Convert to fraction form
    30,582.30/45,874.50 = 10,862.40/x
  3. Step 3: Cross multiply
    30,582.30x = 45,874.50 × 10,862.40
  4. Step 4: Simplify right side
    30,582.30x = 498,307,168.80
  5. Step 5: Solve for x
    x = 498,307,168.80/30,582.30
  6. Step 6: Final answer
    x = 16,293.97

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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.