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Finding the Fourth Proportional to 35,648.69, 49,186.76 and 22,733.24

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Solution

The fourth proportional to 35,648.69, 49,186.76 and 22,733.24 is: 31,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.69 : 49,186.76 = 22,733.24 : x
  2. Step 2: Convert to fraction form
    35,648.69/49,186.76 = 22,733.24/x
  3. Step 3: Cross multiply
    35,648.69x = 49,186.76 × 22,733.24
  4. Step 4: Simplify right side
    35,648.69x = 1,118,174,060.30
  5. Step 5: Solve for x
    x = 1,118,174,060.30/35,648.69
  6. Step 6: Final answer
    x = 31,366.49

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