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Finding the Fourth Proportional to 31,169.83, 46,762.12 and 10,109.88

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Solution

The fourth proportional to 31,169.83, 46,762.12 and 10,109.88 is: 15,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.83 : 46,762.12 = 10,109.88 : x
  2. Step 2: Convert to fraction form
    31,169.83/46,762.12 = 10,109.88/x
  3. Step 3: Cross multiply
    31,169.83x = 46,762.12 × 10,109.88
  4. Step 4: Simplify right side
    31,169.83x = 472,759,421.75
  5. Step 5: Solve for x
    x = 472,759,421.75/31,169.83
  6. Step 6: Final answer
    x = 15,167.21

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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.