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Finding the Fourth Proportional to 35,687.76, 49,272.22 and 22,946.66

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Solution

The fourth proportional to 35,687.76, 49,272.22 and 22,946.66 is: 31,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.76 : 49,272.22 = 22,946.66 : x
  2. Step 2: Convert to fraction form
    35,687.76/49,272.22 = 22,946.66/x
  3. Step 3: Cross multiply
    35,687.76x = 49,272.22 × 22,946.66
  4. Step 4: Simplify right side
    35,687.76x = 1,130,632,879.79
  5. Step 5: Solve for x
    x = 1,130,632,879.79/35,687.76
  6. Step 6: Final answer
    x = 31,681.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.