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Finding the Fourth Proportional to 42,188.28, 63,282.99 and 11,023.50

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Solution

The fourth proportional to 42,188.28, 63,282.99 and 11,023.50 is: 16,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,188.28 : 63,282.99 = 11,023.50 : x
  2. Step 2: Convert to fraction form
    42,188.28/63,282.99 = 11,023.50/x
  3. Step 3: Cross multiply
    42,188.28x = 63,282.99 × 11,023.50
  4. Step 4: Simplify right side
    42,188.28x = 697,600,040.27
  5. Step 5: Solve for x
    x = 697,600,040.27/42,188.28
  6. Step 6: Final answer
    x = 16,535.40

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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.