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Finding the Fourth Proportional to 110,860.32, 166,266.12 and 31,957.40

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Solution

The fourth proportional to 110,860.32, 166,266.12 and 31,957.40 is: 47,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,860.32 : 166,266.12 = 31,957.40 : x
  2. Step 2: Convert to fraction form
    110,860.32/166,266.12 = 31,957.40/x
  3. Step 3: Cross multiply
    110,860.32x = 166,266.12 × 31,957.40
  4. Step 4: Simplify right side
    110,860.32x = 5,313,432,903.29
  5. Step 5: Solve for x
    x = 5,313,432,903.29/110,860.32
  6. Step 6: Final answer
    x = 47,929.08

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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.