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Finding the Fourth Proportional to 31,275.69, 46,916.62 and 9,083.11

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Solution

The fourth proportional to 31,275.69, 46,916.62 and 9,083.11 is: 13,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275.69 : 46,916.62 = 9,083.11 : x
  2. Step 2: Convert to fraction form
    31,275.69/46,916.62 = 9,083.11/x
  3. Step 3: Cross multiply
    31,275.69x = 46,916.62 × 9,083.11
  4. Step 4: Simplify right side
    31,275.69x = 426,148,900.21
  5. Step 5: Solve for x
    x = 426,148,900.21/31,275.69
  6. Step 6: Final answer
    x = 13,625.56

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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.