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Finding the Fourth Proportional to 101,710.50, 152,565.78 and 31,589.82

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Solution

The fourth proportional to 101,710.50, 152,565.78 and 31,589.82 is: 47,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.50 : 152,565.78 = 31,589.82 : x
  2. Step 2: Convert to fraction form
    101,710.50/152,565.78 = 31,589.82/x
  3. Step 3: Cross multiply
    101,710.50x = 152,565.78 × 31,589.82
  4. Step 4: Simplify right side
    101,710.50x = 4,819,525,528.36
  5. Step 5: Solve for x
    x = 4,819,525,528.36/101,710.50
  6. Step 6: Final answer
    x = 47,384.74

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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.