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Finding the Fourth Proportional to 64,093.46, 88,448.49 and 35,415

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Solution

The fourth proportional to 64,093.46, 88,448.49 and 35,415 is: 48,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,093.46 : 88,448.49 = 35,415 : x
  2. Step 2: Convert to fraction form
    64,093.46/88,448.49 = 35,415/x
  3. Step 3: Cross multiply
    64,093.46x = 88,448.49 × 35,415
  4. Step 4: Simplify right side
    64,093.46x = 3,132,403,273.35
  5. Step 5: Solve for x
    x = 3,132,403,273.35/64,093.46
  6. Step 6: Final answer
    x = 48,872.44

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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.