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Finding the Fourth Proportional to 30,275.32, 45,415.30 and 9,217.16

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Solution

The fourth proportional to 30,275.32, 45,415.30 and 9,217.16 is: 13,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275.32 : 45,415.30 = 9,217.16 : x
  2. Step 2: Convert to fraction form
    30,275.32/45,415.30 = 9,217.16/x
  3. Step 3: Cross multiply
    30,275.32x = 45,415.30 × 9,217.16
  4. Step 4: Simplify right side
    30,275.32x = 418,600,024.02
  5. Step 5: Solve for x
    x = 418,600,024.02/30,275.32
  6. Step 6: Final answer
    x = 13,826.44

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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.