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Finding the Fourth Proportional to 31,903.94, 47,862.83 and 9,716.74

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Solution

The fourth proportional to 31,903.94, 47,862.83 and 9,716.74 is: 14,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.94 : 47,862.83 = 9,716.74 : x
  2. Step 2: Convert to fraction form
    31,903.94/47,862.83 = 9,716.74/x
  3. Step 3: Cross multiply
    31,903.94x = 47,862.83 × 9,716.74
  4. Step 4: Simplify right side
    31,903.94x = 465,070,579.41
  5. Step 5: Solve for x
    x = 465,070,579.41/31,903.94
  6. Step 6: Final answer
    x = 14,577.21

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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.