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Finding the Fourth Proportional to 73,336, 101,205.84 and 39,804.16

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Solution

The fourth proportional to 73,336, 101,205.84 and 39,804.16 is: 54,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,336 : 101,205.84 = 39,804.16 : x
  2. Step 2: Convert to fraction form
    73,336/101,205.84 = 39,804.16/x
  3. Step 3: Cross multiply
    73,336x = 101,205.84 × 39,804.16
  4. Step 4: Simplify right side
    73,336x = 4,028,413,448.29
  5. Step 5: Solve for x
    x = 4,028,413,448.29/73,336
  6. Step 6: Final answer
    x = 54,930.91

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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.