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Finding the Fourth Proportional to 35,617.42, 49,192.38 and 24,267.22

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Solution

The fourth proportional to 35,617.42, 49,192.38 and 24,267.22 is: 33,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,617.42 : 49,192.38 = 24,267.22 : x
  2. Step 2: Convert to fraction form
    35,617.42/49,192.38 = 24,267.22/x
  3. Step 3: Cross multiply
    35,617.42x = 49,192.38 × 24,267.22
  4. Step 4: Simplify right side
    35,617.42x = 1,193,762,307.78
  5. Step 5: Solve for x
    x = 1,193,762,307.78/35,617.42
  6. Step 6: Final answer
    x = 33,516.25

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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.