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Finding the Fourth Proportional to 30,106.50, 45,059.01 and 29,708.22

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Solution

The fourth proportional to 30,106.50, 45,059.01 and 29,708.22 is: 44,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.50 : 45,059.01 = 29,708.22 : x
  2. Step 2: Convert to fraction form
    30,106.50/45,059.01 = 29,708.22/x
  3. Step 3: Cross multiply
    30,106.50x = 45,059.01 × 29,708.22
  4. Step 4: Simplify right side
    30,106.50x = 1,338,622,982.06
  5. Step 5: Solve for x
    x = 1,338,622,982.06/30,106.50
  6. Step 6: Final answer
    x = 44,462.92

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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.