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Finding the Fourth Proportional to 31,019.99, 46,502.37 and 14,357.15

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Solution

The fourth proportional to 31,019.99, 46,502.37 and 14,357.15 is: 21,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.99 : 46,502.37 = 14,357.15 : x
  2. Step 2: Convert to fraction form
    31,019.99/46,502.37 = 14,357.15/x
  3. Step 3: Cross multiply
    31,019.99x = 46,502.37 × 14,357.15
  4. Step 4: Simplify right side
    31,019.99x = 667,641,501.45
  5. Step 5: Solve for x
    x = 667,641,501.45/31,019.99
  6. Step 6: Final answer
    x = 21,522.94

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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.