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Finding the Fourth Proportional to 31,328.39, 46,996.02 and 9,145.40

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Solution

The fourth proportional to 31,328.39, 46,996.02 and 9,145.40 is: 13,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328.39 : 46,996.02 = 9,145.40 : x
  2. Step 2: Convert to fraction form
    31,328.39/46,996.02 = 9,145.40/x
  3. Step 3: Cross multiply
    31,328.39x = 46,996.02 × 9,145.40
  4. Step 4: Simplify right side
    31,328.39x = 429,797,166.33
  5. Step 5: Solve for x
    x = 429,797,166.33/31,328.39
  6. Step 6: Final answer
    x = 13,719.10

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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.