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Finding the Fourth Proportional to 31,782.51, 47,680.85 and 10,436.17

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Solution

The fourth proportional to 31,782.51, 47,680.85 and 10,436.17 is: 15,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.51 : 47,680.85 = 10,436.17 : x
  2. Step 2: Convert to fraction form
    31,782.51/47,680.85 = 10,436.17/x
  3. Step 3: Cross multiply
    31,782.51x = 47,680.85 × 10,436.17
  4. Step 4: Simplify right side
    31,782.51x = 497,605,456.34
  5. Step 5: Solve for x
    x = 497,605,456.34/31,782.51
  6. Step 6: Final answer
    x = 15,656.58

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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.