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Finding the Fourth Proportional to 32,815.78, 49,215.47 and 9,442.22

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Solution

The fourth proportional to 32,815.78, 49,215.47 and 9,442.22 is: 14,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,815.78 : 49,215.47 = 9,442.22 : x
  2. Step 2: Convert to fraction form
    32,815.78/49,215.47 = 9,442.22/x
  3. Step 3: Cross multiply
    32,815.78x = 49,215.47 × 9,442.22
  4. Step 4: Simplify right side
    32,815.78x = 464,703,358.36
  5. Step 5: Solve for x
    x = 464,703,358.36/32,815.78
  6. Step 6: Final answer
    x = 14,160.97

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1.5x scale

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.