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Finding the Fourth Proportional to 52,095, 78,079.92 and 23,976.36

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Solution

The fourth proportional to 52,095, 78,079.92 and 23,976.36 is: 35,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095 : 78,079.92 = 23,976.36 : x
  2. Step 2: Convert to fraction form
    52,095/78,079.92 = 23,976.36/x
  3. Step 3: Cross multiply
    52,095x = 78,079.92 × 23,976.36
  4. Step 4: Simplify right side
    52,095x = 1,872,072,270.69
  5. Step 5: Solve for x
    x = 1,872,072,270.69/52,095
  6. Step 6: Final answer
    x = 35,935.74

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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.