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Finding the Fourth Proportional to 30,228.12, 45,342.09 and 8,041.50

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Solution

The fourth proportional to 30,228.12, 45,342.09 and 8,041.50 is: 12,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.12 : 45,342.09 = 8,041.50 : x
  2. Step 2: Convert to fraction form
    30,228.12/45,342.09 = 8,041.50/x
  3. Step 3: Cross multiply
    30,228.12x = 45,342.09 × 8,041.50
  4. Step 4: Simplify right side
    30,228.12x = 364,618,416.74
  5. Step 5: Solve for x
    x = 364,618,416.74/30,228.12
  6. Step 6: Final answer
    x = 12,062.23

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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.