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Finding the Fourth Proportional to 64,205.16, 88,607.76 and 35,919.96

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Solution

The fourth proportional to 64,205.16, 88,607.76 and 35,919.96 is: 49,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,205.16 : 88,607.76 = 35,919.96 : x
  2. Step 2: Convert to fraction form
    64,205.16/88,607.76 = 35,919.96/x
  3. Step 3: Cross multiply
    64,205.16x = 88,607.76 × 35,919.96
  4. Step 4: Simplify right side
    64,205.16x = 3,182,787,194.89
  5. Step 5: Solve for x
    x = 3,182,787,194.89/64,205.16
  6. Step 6: Final answer
    x = 49,572.14

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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.