Home / 31,288.14-46,931-11,566.26

Finding the Fourth Proportional to 31,288.14, 46,931 and 11,566.26

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Solution

The fourth proportional to 31,288.14, 46,931 and 11,566.26 is: 17,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.14 : 46,931 = 11,566.26 : x
  2. Step 2: Convert to fraction form
    31,288.14/46,931 = 11,566.26/x
  3. Step 3: Cross multiply
    31,288.14x = 46,931 × 11,566.26
  4. Step 4: Simplify right side
    31,288.14x = 542,816,148.06
  5. Step 5: Solve for x
    x = 542,816,148.06/31,288.14
  6. Step 6: Final answer
    x = 17,348.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.