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Finding the Fourth Proportional to 106,337.70, 159,506.53 and 31,452.01

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Solution

The fourth proportional to 106,337.70, 159,506.53 and 31,452.01 is: 47,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,337.70 : 159,506.53 = 31,452.01 : x
  2. Step 2: Convert to fraction form
    106,337.70/159,506.53 = 31,452.01/x
  3. Step 3: Cross multiply
    106,337.70x = 159,506.53 × 31,452.01
  4. Step 4: Simplify right side
    106,337.70x = 5,016,800,499.23
  5. Step 5: Solve for x
    x = 5,016,800,499.23/106,337.70
  6. Step 6: Final answer
    x = 47,178.00

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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.