Home / 32,642-48,966.48-10,447.44

Finding the Fourth Proportional to 32,642, 48,966.48 and 10,447.44

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Solution

The fourth proportional to 32,642, 48,966.48 and 10,447.44 is: 15,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642 : 48,966.48 = 10,447.44 : x
  2. Step 2: Convert to fraction form
    32,642/48,966.48 = 10,447.44/x
  3. Step 3: Cross multiply
    32,642x = 48,966.48 × 10,447.44
  4. Step 4: Simplify right side
    32,642x = 511,574,361.81
  5. Step 5: Solve for x
    x = 511,574,361.81/32,642
  6. Step 6: Final answer
    x = 15,672.27

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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.