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Finding the Fourth Proportional to 31,602.03, 47,403.04 and 9,414.83

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Solution

The fourth proportional to 31,602.03, 47,403.04 and 9,414.83 is: 14,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.03 : 47,403.04 = 9,414.83 : x
  2. Step 2: Convert to fraction form
    31,602.03/47,403.04 = 9,414.83/x
  3. Step 3: Cross multiply
    31,602.03x = 47,403.04 × 9,414.83
  4. Step 4: Simplify right side
    31,602.03x = 446,291,563.08
  5. Step 5: Solve for x
    x = 446,291,563.08/31,602.03
  6. Step 6: Final answer
    x = 14,122.24

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1.5x scale

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.