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Finding the Fourth Proportional to 72,715.84, 109,075.12 and 22,794.82

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Solution

The fourth proportional to 72,715.84, 109,075.12 and 22,794.82 is: 34,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,715.84 : 109,075.12 = 22,794.82 : x
  2. Step 2: Convert to fraction form
    72,715.84/109,075.12 = 22,794.82/x
  3. Step 3: Cross multiply
    72,715.84x = 109,075.12 × 22,794.82
  4. Step 4: Simplify right side
    72,715.84x = 2,486,347,726.88
  5. Step 5: Solve for x
    x = 2,486,347,726.88/72,715.84
  6. Step 6: Final answer
    x = 34,192.66

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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.