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Finding the Fourth Proportional to 32,107.30, 48,401.59 and 29,966.50

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Solution

The fourth proportional to 32,107.30, 48,401.59 and 29,966.50 is: 45,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.30 : 48,401.59 = 29,966.50 : x
  2. Step 2: Convert to fraction form
    32,107.30/48,401.59 = 29,966.50/x
  3. Step 3: Cross multiply
    32,107.30x = 48,401.59 × 29,966.50
  4. Step 4: Simplify right side
    32,107.30x = 1,450,426,246.74
  5. Step 5: Solve for x
    x = 1,450,426,246.74/32,107.30
  6. Step 6: Final answer
    x = 45,174.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.