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Finding the Fourth Proportional to 106,737.70, 160,109.79 and 36,616

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Solution

The fourth proportional to 106,737.70, 160,109.79 and 36,616 is: 54,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,737.70 : 160,109.79 = 36,616 : x
  2. Step 2: Convert to fraction form
    106,737.70/160,109.79 = 36,616/x
  3. Step 3: Cross multiply
    106,737.70x = 160,109.79 × 36,616
  4. Step 4: Simplify right side
    106,737.70x = 5,862,580,070.64
  5. Step 5: Solve for x
    x = 5,862,580,070.64/106,737.70
  6. Step 6: Final answer
    x = 54,925.11

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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.