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Finding the Fourth Proportional to 31,860.19, 47,780.56 and 8,483.59

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Solution

The fourth proportional to 31,860.19, 47,780.56 and 8,483.59 is: 12,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.19 : 47,780.56 = 8,483.59 : x
  2. Step 2: Convert to fraction form
    31,860.19/47,780.56 = 8,483.59/x
  3. Step 3: Cross multiply
    31,860.19x = 47,780.56 × 8,483.59
  4. Step 4: Simplify right side
    31,860.19x = 405,350,681.01
  5. Step 5: Solve for x
    x = 405,350,681.01/31,860.19
  6. Step 6: Final answer
    x = 12,722.80

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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.