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Finding the Fourth Proportional to 28,057.76, 42,081.60 and 9,338.12

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Solution

The fourth proportional to 28,057.76, 42,081.60 and 9,338.12 is: 14,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,057.76 : 42,081.60 = 9,338.12 : x
  2. Step 2: Convert to fraction form
    28,057.76/42,081.60 = 9,338.12/x
  3. Step 3: Cross multiply
    28,057.76x = 42,081.60 × 9,338.12
  4. Step 4: Simplify right side
    28,057.76x = 392,963,030.59
  5. Step 5: Solve for x
    x = 392,963,030.59/28,057.76
  6. Step 6: Final answer
    x = 14,005.50

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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.