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Finding the Fourth Proportional to 101,891.20, 152,852.16 and 31,776

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Solution

The fourth proportional to 101,891.20, 152,852.16 and 31,776 is: 47,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,891.20 : 152,852.16 = 31,776 : x
  2. Step 2: Convert to fraction form
    101,891.20/152,852.16 = 31,776/x
  3. Step 3: Cross multiply
    101,891.20x = 152,852.16 × 31,776
  4. Step 4: Simplify right side
    101,891.20x = 4,857,030,236.16
  5. Step 5: Solve for x
    x = 4,857,030,236.16/101,891.20
  6. Step 6: Final answer
    x = 47,668.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.