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Finding the Fourth Proportional to 31,293.88, 46,948.51 and 9,107.45

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Solution

The fourth proportional to 31,293.88, 46,948.51 and 9,107.45 is: 13,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293.88 : 46,948.51 = 9,107.45 : x
  2. Step 2: Convert to fraction form
    31,293.88/46,948.51 = 9,107.45/x
  3. Step 3: Cross multiply
    31,293.88x = 46,948.51 × 9,107.45
  4. Step 4: Simplify right side
    31,293.88x = 427,581,207.40
  5. Step 5: Solve for x
    x = 427,581,207.40/31,293.88
  6. Step 6: Final answer
    x = 13,663.41

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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.