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Finding the Fourth Proportional to 64,207.68, 88,607.16 and 35,916

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Solution

The fourth proportional to 64,207.68, 88,607.16 and 35,916 is: 49,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,207.68 : 88,607.16 = 35,916 : x
  2. Step 2: Convert to fraction form
    64,207.68/88,607.16 = 35,916/x
  3. Step 3: Cross multiply
    64,207.68x = 88,607.16 × 35,916
  4. Step 4: Simplify right side
    64,207.68x = 3,182,414,758.56
  5. Step 5: Solve for x
    x = 3,182,414,758.56/64,207.68
  6. Step 6: Final answer
    x = 49,564.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.