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Finding the Fourth Proportional to 31,131.39, 46,697.49 and 10,354.89

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Solution

The fourth proportional to 31,131.39, 46,697.49 and 10,354.89 is: 15,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,131.39 : 46,697.49 = 10,354.89 : x
  2. Step 2: Convert to fraction form
    31,131.39/46,697.49 = 10,354.89/x
  3. Step 3: Cross multiply
    31,131.39x = 46,697.49 × 10,354.89
  4. Step 4: Simplify right side
    31,131.39x = 483,547,372.23
  5. Step 5: Solve for x
    x = 483,547,372.23/31,131.39
  6. Step 6: Final answer
    x = 15,532.47

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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.