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Finding the Fourth Proportional to 32,215.95, 48,328.52 and 10,031.56

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Solution

The fourth proportional to 32,215.95, 48,328.52 and 10,031.56 is: 15,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,215.95 : 48,328.52 = 10,031.56 : x
  2. Step 2: Convert to fraction form
    32,215.95/48,328.52 = 10,031.56/x
  3. Step 3: Cross multiply
    32,215.95x = 48,328.52 × 10,031.56
  4. Step 4: Simplify right side
    32,215.95x = 484,810,277.11
  5. Step 5: Solve for x
    x = 484,810,277.11/32,215.95
  6. Step 6: Final answer
    x = 15,048.77

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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.