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Finding the Fourth Proportional to 82,411.92, 123,622.80 and 23,252.64

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Solution

The fourth proportional to 82,411.92, 123,622.80 and 23,252.64 is: 34,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,411.92 : 123,622.80 = 23,252.64 : x
  2. Step 2: Convert to fraction form
    82,411.92/123,622.80 = 23,252.64/x
  3. Step 3: Cross multiply
    82,411.92x = 123,622.80 × 23,252.64
  4. Step 4: Simplify right side
    82,411.92x = 2,874,556,464.19
  5. Step 5: Solve for x
    x = 2,874,556,464.19/82,411.92
  6. Step 6: Final answer
    x = 34,880.35

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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.