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Finding the Fourth Proportional to 29,357.50, 40,513.35 and 16,109.50

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Solution

The fourth proportional to 29,357.50, 40,513.35 and 16,109.50 is: 22,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.50 : 40,513.35 = 16,109.50 : x
  2. Step 2: Convert to fraction form
    29,357.50/40,513.35 = 16,109.50/x
  3. Step 3: Cross multiply
    29,357.50x = 40,513.35 × 16,109.50
  4. Step 4: Simplify right side
    29,357.50x = 652,649,811.83
  5. Step 5: Solve for x
    x = 652,649,811.83/29,357.50
  6. Step 6: Final answer
    x = 22,231.11

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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.