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Finding the Fourth Proportional to 64,097.84, 88,452.12 and 35,798

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Solution

The fourth proportional to 64,097.84, 88,452.12 and 35,798 is: 49,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,097.84 : 88,452.12 = 35,798 : x
  2. Step 2: Convert to fraction form
    64,097.84/88,452.12 = 35,798/x
  3. Step 3: Cross multiply
    64,097.84x = 88,452.12 × 35,798
  4. Step 4: Simplify right side
    64,097.84x = 3,166,408,991.76
  5. Step 5: Solve for x
    x = 3,166,408,991.76/64,097.84
  6. Step 6: Final answer
    x = 49,399.62

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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.