Home / 32,310.24-48,464-10,123.14

Finding the Fourth Proportional to 32,310.24, 48,464 and 10,123.14

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Solution

The fourth proportional to 32,310.24, 48,464 and 10,123.14 is: 15,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,310.24 : 48,464 = 10,123.14 : x
  2. Step 2: Convert to fraction form
    32,310.24/48,464 = 10,123.14/x
  3. Step 3: Cross multiply
    32,310.24x = 48,464 × 10,123.14
  4. Step 4: Simplify right side
    32,310.24x = 490,607,856.96
  5. Step 5: Solve for x
    x = 490,607,856.96/32,310.24
  6. Step 6: Final answer
    x = 15,184.28

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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.