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Finding the Fourth Proportional to 31,146.61, 46,707.63 and 13,604.17

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Solution

The fourth proportional to 31,146.61, 46,707.63 and 13,604.17 is: 20,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146.61 : 46,707.63 = 13,604.17 : x
  2. Step 2: Convert to fraction form
    31,146.61/46,707.63 = 13,604.17/x
  3. Step 3: Cross multiply
    31,146.61x = 46,707.63 × 13,604.17
  4. Step 4: Simplify right side
    31,146.61x = 635,418,538.82
  5. Step 5: Solve for x
    x = 635,418,538.82/31,146.61
  6. Step 6: Final answer
    x = 20,400.89

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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.