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Finding the Fourth Proportional to 31,207.86, 46,802.07 and 10,426.50

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Solution

The fourth proportional to 31,207.86, 46,802.07 and 10,426.50 is: 15,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.86 : 46,802.07 = 10,426.50 : x
  2. Step 2: Convert to fraction form
    31,207.86/46,802.07 = 10,426.50/x
  3. Step 3: Cross multiply
    31,207.86x = 46,802.07 × 10,426.50
  4. Step 4: Simplify right side
    31,207.86x = 487,981,782.86
  5. Step 5: Solve for x
    x = 487,981,782.86/31,207.86
  6. Step 6: Final answer
    x = 15,636.50

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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.