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Finding the Fourth Proportional to 76,083.84, 104,995.62 and 42,549.84

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Solution

The fourth proportional to 76,083.84, 104,995.62 and 42,549.84 is: 58,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,083.84 : 104,995.62 = 42,549.84 : x
  2. Step 2: Convert to fraction form
    76,083.84/104,995.62 = 42,549.84/x
  3. Step 3: Cross multiply
    76,083.84x = 104,995.62 × 42,549.84
  4. Step 4: Simplify right side
    76,083.84x = 4,467,546,831.70
  5. Step 5: Solve for x
    x = 4,467,546,831.70/76,083.84
  6. Step 6: Final answer
    x = 58,718.73

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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.