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Finding the Fourth Proportional to 73,840.16, 110,838 and 34,435.28

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Solution

The fourth proportional to 73,840.16, 110,838 and 34,435.28 is: 51,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,840.16 : 110,838 = 34,435.28 : x
  2. Step 2: Convert to fraction form
    73,840.16/110,838 = 34,435.28/x
  3. Step 3: Cross multiply
    73,840.16x = 110,838 × 34,435.28
  4. Step 4: Simplify right side
    73,840.16x = 3,816,737,564.64
  5. Step 5: Solve for x
    x = 3,816,737,564.64/73,840.16
  6. Step 6: Final answer
    x = 51,689.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.