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Finding the Fourth Proportional to 31,117.70, 46,661.95 and 11,382.45

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Solution

The fourth proportional to 31,117.70, 46,661.95 and 11,382.45 is: 17,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.70 : 46,661.95 = 11,382.45 : x
  2. Step 2: Convert to fraction form
    31,117.70/46,661.95 = 11,382.45/x
  3. Step 3: Cross multiply
    31,117.70x = 46,661.95 × 11,382.45
  4. Step 4: Simplify right side
    31,117.70x = 531,127,255.87
  5. Step 5: Solve for x
    x = 531,127,255.87/31,117.70
  6. Step 6: Final answer
    x = 17,068.34

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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.