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Finding the Fourth Proportional to 40,737.50, 61,106.26 and 16,113.50

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Solution

The fourth proportional to 40,737.50, 61,106.26 and 16,113.50 is: 24,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,737.50 : 61,106.26 = 16,113.50 : x
  2. Step 2: Convert to fraction form
    40,737.50/61,106.26 = 16,113.50/x
  3. Step 3: Cross multiply
    40,737.50x = 61,106.26 × 16,113.50
  4. Step 4: Simplify right side
    40,737.50x = 984,635,720.51
  5. Step 5: Solve for x
    x = 984,635,720.51/40,737.50
  6. Step 6: Final answer
    x = 24,170.25

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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.