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Finding the Fourth Proportional to 31,808.13, 47,712.19 and 9,920.13

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Solution

The fourth proportional to 31,808.13, 47,712.19 and 9,920.13 is: 14,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.13 : 47,712.19 = 9,920.13 : x
  2. Step 2: Convert to fraction form
    31,808.13/47,712.19 = 9,920.13/x
  3. Step 3: Cross multiply
    31,808.13x = 47,712.19 × 9,920.13
  4. Step 4: Simplify right side
    31,808.13x = 473,310,888.82
  5. Step 5: Solve for x
    x = 473,310,888.82/31,808.13
  6. Step 6: Final answer
    x = 14,880.19

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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.