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Finding the Fourth Proportional to 31,296.76, 46,941.34 and 7,923.40

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Solution

The fourth proportional to 31,296.76, 46,941.34 and 7,923.40 is: 11,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.76 : 46,941.34 = 7,923.40 : x
  2. Step 2: Convert to fraction form
    31,296.76/46,941.34 = 7,923.40/x
  3. Step 3: Cross multiply
    31,296.76x = 46,941.34 × 7,923.40
  4. Step 4: Simplify right side
    31,296.76x = 371,935,013.36
  5. Step 5: Solve for x
    x = 371,935,013.36/31,296.76
  6. Step 6: Final answer
    x = 11,884.14

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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.