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Finding the Fourth Proportional to 31,461.94, 47,214.77 and 20,341.04

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Solution

The fourth proportional to 31,461.94, 47,214.77 and 20,341.04 is: 30,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.94 : 47,214.77 = 20,341.04 : x
  2. Step 2: Convert to fraction form
    31,461.94/47,214.77 = 20,341.04/x
  3. Step 3: Cross multiply
    31,461.94x = 47,214.77 × 20,341.04
  4. Step 4: Simplify right side
    31,461.94x = 960,397,541.49
  5. Step 5: Solve for x
    x = 960,397,541.49/31,461.94
  6. Step 6: Final answer
    x = 30,525.70

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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.