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Finding the Fourth Proportional to 30,276.95, 45,422.70 and 9,500.45

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Solution

The fourth proportional to 30,276.95, 45,422.70 and 9,500.45 is: 14,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.95 : 45,422.70 = 9,500.45 : x
  2. Step 2: Convert to fraction form
    30,276.95/45,422.70 = 9,500.45/x
  3. Step 3: Cross multiply
    30,276.95x = 45,422.70 × 9,500.45
  4. Step 4: Simplify right side
    30,276.95x = 431,535,863.10
  5. Step 5: Solve for x
    x = 431,535,863.10/30,276.95
  6. Step 6: Final answer
    x = 14,252.95

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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.