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Finding the Fourth Proportional to 31,294.47, 46,941.80 and 9,108.39

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Solution

The fourth proportional to 31,294.47, 46,941.80 and 9,108.39 is: 13,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.47 : 46,941.80 = 9,108.39 : x
  2. Step 2: Convert to fraction form
    31,294.47/46,941.80 = 9,108.39/x
  3. Step 3: Cross multiply
    31,294.47x = 46,941.80 × 9,108.39
  4. Step 4: Simplify right side
    31,294.47x = 427,564,176.16
  5. Step 5: Solve for x
    x = 427,564,176.16/31,294.47
  6. Step 6: Final answer
    x = 13,662.61

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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.