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Finding the Fourth Proportional to 31,465.13, 47,182.30 and 14,811.12

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Solution

The fourth proportional to 31,465.13, 47,182.30 and 14,811.12 is: 22,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.13 : 47,182.30 = 14,811.12 : x
  2. Step 2: Convert to fraction form
    31,465.13/47,182.30 = 14,811.12/x
  3. Step 3: Cross multiply
    31,465.13x = 47,182.30 × 14,811.12
  4. Step 4: Simplify right side
    31,465.13x = 698,822,670.15
  5. Step 5: Solve for x
    x = 698,822,670.15/31,465.13
  6. Step 6: Final answer
    x = 22,209.44

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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.