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Finding the Fourth Proportional to 73,011.95, 100,802.11 and 55,983.48

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Solution

The fourth proportional to 73,011.95, 100,802.11 and 55,983.48 is: 77,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,011.95 : 100,802.11 = 55,983.48 : x
  2. Step 2: Convert to fraction form
    73,011.95/100,802.11 = 55,983.48/x
  3. Step 3: Cross multiply
    73,011.95x = 100,802.11 × 55,983.48
  4. Step 4: Simplify right side
    73,011.95x = 5,643,253,147.19
  5. Step 5: Solve for x
    x = 5,643,253,147.19/73,011.95
  6. Step 6: Final answer
    x = 77,292.18

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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.