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Finding the Fourth Proportional to 31,106.93, 46,618.54 and 17,045.87

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Solution

The fourth proportional to 31,106.93, 46,618.54 and 17,045.87 is: 25,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.93 : 46,618.54 = 17,045.87 : x
  2. Step 2: Convert to fraction form
    31,106.93/46,618.54 = 17,045.87/x
  3. Step 3: Cross multiply
    31,106.93x = 46,618.54 × 17,045.87
  4. Step 4: Simplify right side
    31,106.93x = 794,653,572.43
  5. Step 5: Solve for x
    x = 794,653,572.43/31,106.93
  6. Step 6: Final answer
    x = 25,545.87

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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.