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Finding the Fourth Proportional to 30,569.60, 45,874.74 and 12,572.60

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Solution

The fourth proportional to 30,569.60, 45,874.74 and 12,572.60 is: 18,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,569.60 : 45,874.74 = 12,572.60 : x
  2. Step 2: Convert to fraction form
    30,569.60/45,874.74 = 12,572.60/x
  3. Step 3: Cross multiply
    30,569.60x = 45,874.74 × 12,572.60
  4. Step 4: Simplify right side
    30,569.60x = 576,764,756.12
  5. Step 5: Solve for x
    x = 576,764,756.12/30,569.60
  6. Step 6: Final answer
    x = 18,867.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.