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Finding the Fourth Proportional to 30,215.40, 45,323.10 and 8,032.20

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Solution

The fourth proportional to 30,215.40, 45,323.10 and 8,032.20 is: 12,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215.40 : 45,323.10 = 8,032.20 : x
  2. Step 2: Convert to fraction form
    30,215.40/45,323.10 = 8,032.20/x
  3. Step 3: Cross multiply
    30,215.40x = 45,323.10 × 8,032.20
  4. Step 4: Simplify right side
    30,215.40x = 364,044,203.82
  5. Step 5: Solve for x
    x = 364,044,203.82/30,215.40
  6. Step 6: Final answer
    x = 12,048.30

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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.