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Finding the Fourth Proportional to 30,197.80, 45,280.50 and 10,470.52

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Solution

The fourth proportional to 30,197.80, 45,280.50 and 10,470.52 is: 15,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.80 : 45,280.50 = 10,470.52 : x
  2. Step 2: Convert to fraction form
    30,197.80/45,280.50 = 10,470.52/x
  3. Step 3: Cross multiply
    30,197.80x = 45,280.50 × 10,470.52
  4. Step 4: Simplify right side
    30,197.80x = 474,110,380.86
  5. Step 5: Solve for x
    x = 474,110,380.86/30,197.80
  6. Step 6: Final answer
    x = 15,700.16

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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.