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Finding the Fourth Proportional to 30,288.50, 45,432.95 and 10,566.98

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Solution

The fourth proportional to 30,288.50, 45,432.95 and 10,566.98 is: 15,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288.50 : 45,432.95 = 10,566.98 : x
  2. Step 2: Convert to fraction form
    30,288.50/45,432.95 = 10,566.98/x
  3. Step 3: Cross multiply
    30,288.50x = 45,432.95 × 10,566.98
  4. Step 4: Simplify right side
    30,288.50x = 480,088,793.99
  5. Step 5: Solve for x
    x = 480,088,793.99/30,288.50
  6. Step 6: Final answer
    x = 15,850.53

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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.