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Finding the Fourth Proportional to 64,107.84, 88,465.92 and 35,808

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Solution

The fourth proportional to 64,107.84, 88,465.92 and 35,808 is: 49,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,107.84 : 88,465.92 = 35,808 : x
  2. Step 2: Convert to fraction form
    64,107.84/88,465.92 = 35,808/x
  3. Step 3: Cross multiply
    64,107.84x = 88,465.92 × 35,808
  4. Step 4: Simplify right side
    64,107.84x = 3,167,787,663.36
  5. Step 5: Solve for x
    x = 3,167,787,663.36/64,107.84
  6. Step 6: Final answer
    x = 49,413.42

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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.