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Finding the Fourth Proportional to 31,042.71, 46,564.07 and 7,669.15

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Solution

The fourth proportional to 31,042.71, 46,564.07 and 7,669.15 is: 11,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.71 : 46,564.07 = 7,669.15 : x
  2. Step 2: Convert to fraction form
    31,042.71/46,564.07 = 7,669.15/x
  3. Step 3: Cross multiply
    31,042.71x = 46,564.07 × 7,669.15
  4. Step 4: Simplify right side
    31,042.71x = 357,106,682.68
  5. Step 5: Solve for x
    x = 357,106,682.68/31,042.71
  6. Step 6: Final answer
    x = 11,503.72

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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.