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Finding the Fourth Proportional to 77,184.62, 106,520.49 and 43,196.51

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Solution

The fourth proportional to 77,184.62, 106,520.49 and 43,196.51 is: 59,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,184.62 : 106,520.49 = 43,196.51 : x
  2. Step 2: Convert to fraction form
    77,184.62/106,520.49 = 43,196.51/x
  3. Step 3: Cross multiply
    77,184.62x = 106,520.49 × 43,196.51
  4. Step 4: Simplify right side
    77,184.62x = 4,601,312,878.89
  5. Step 5: Solve for x
    x = 4,601,312,878.89/77,184.62
  6. Step 6: Final answer
    x = 59,614.38

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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.