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Finding the Fourth Proportional to 30,215.95, 45,320.31 and 8,031.03

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Solution

The fourth proportional to 30,215.95, 45,320.31 and 8,031.03 is: 12,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215.95 : 45,320.31 = 8,031.03 : x
  2. Step 2: Convert to fraction form
    30,215.95/45,320.31 = 8,031.03/x
  3. Step 3: Cross multiply
    30,215.95x = 45,320.31 × 8,031.03
  4. Step 4: Simplify right side
    30,215.95x = 363,968,599.27
  5. Step 5: Solve for x
    x = 363,968,599.27/30,215.95
  6. Step 6: Final answer
    x = 12,045.58

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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.