Home / 32,206.24-48,286.32-12,468

Finding the Fourth Proportional to 32,206.24, 48,286.32 and 12,468

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Solution

The fourth proportional to 32,206.24, 48,286.32 and 12,468 is: 18,693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.24 : 48,286.32 = 12,468 : x
  2. Step 2: Convert to fraction form
    32,206.24/48,286.32 = 12,468/x
  3. Step 3: Cross multiply
    32,206.24x = 48,286.32 × 12,468
  4. Step 4: Simplify right side
    32,206.24x = 602,033,837.76
  5. Step 5: Solve for x
    x = 602,033,837.76/32,206.24
  6. Step 6: Final answer
    x = 18,693.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.