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Finding the Fourth Proportional to 101,695.70, 152,541.92 and 31,575.08

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Solution

The fourth proportional to 101,695.70, 152,541.92 and 31,575.08 is: 47,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,695.70 : 152,541.92 = 31,575.08 : x
  2. Step 2: Convert to fraction form
    101,695.70/152,541.92 = 31,575.08/x
  3. Step 3: Cross multiply
    101,695.70x = 152,541.92 × 31,575.08
  4. Step 4: Simplify right side
    101,695.70x = 4,816,523,169.48
  5. Step 5: Solve for x
    x = 4,816,523,169.48/101,695.70
  6. Step 6: Final answer
    x = 47,362.11

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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.