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Finding the Fourth Proportional to 64,108.32, 88,469.51 and 35,814

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Solution

The fourth proportional to 64,108.32, 88,469.51 and 35,814 is: 49,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,108.32 : 88,469.51 = 35,814 : x
  2. Step 2: Convert to fraction form
    64,108.32/88,469.51 = 35,814/x
  3. Step 3: Cross multiply
    64,108.32x = 88,469.51 × 35,814
  4. Step 4: Simplify right side
    64,108.32x = 3,168,446,852.07
  5. Step 5: Solve for x
    x = 3,168,446,852.07/64,108.32
  6. Step 6: Final answer
    x = 49,423.33

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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.