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Finding the Fourth Proportional to 30,458.19, 45,698.22 and 22,124.10

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Solution

The fourth proportional to 30,458.19, 45,698.22 and 22,124.10 is: 33,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.19 : 45,698.22 = 22,124.10 : x
  2. Step 2: Convert to fraction form
    30,458.19/45,698.22 = 22,124.10/x
  3. Step 3: Cross multiply
    30,458.19x = 45,698.22 × 22,124.10
  4. Step 4: Simplify right side
    30,458.19x = 1,011,031,989.10
  5. Step 5: Solve for x
    x = 1,011,031,989.10/30,458.19
  6. Step 6: Final answer
    x = 33,194.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.