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Finding the Fourth Proportional to 77,500.84, 106,983.66 and 52,384.36

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Solution

The fourth proportional to 77,500.84, 106,983.66 and 52,384.36 is: 72,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,500.84 : 106,983.66 = 52,384.36 : x
  2. Step 2: Convert to fraction form
    77,500.84/106,983.66 = 52,384.36/x
  3. Step 3: Cross multiply
    77,500.84x = 106,983.66 × 52,384.36
  4. Step 4: Simplify right side
    77,500.84x = 5,604,270,559.56
  5. Step 5: Solve for x
    x = 5,604,270,559.56/77,500.84
  6. Step 6: Final answer
    x = 72,312.38

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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.