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Finding the Fourth Proportional to 64,149.24, 88,527.84 and 35,855

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Solution

The fourth proportional to 64,149.24, 88,527.84 and 35,855 is: 49,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,149.24 : 88,527.84 = 35,855 : x
  2. Step 2: Convert to fraction form
    64,149.24/88,527.84 = 35,855/x
  3. Step 3: Cross multiply
    64,149.24x = 88,527.84 × 35,855
  4. Step 4: Simplify right side
    64,149.24x = 3,174,165,703.20
  5. Step 5: Solve for x
    x = 3,174,165,703.20/64,149.24
  6. Step 6: Final answer
    x = 49,480.96

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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.