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Finding the Fourth Proportional to 82,532.54, 123,807.01 and 29,946.12

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Solution

The fourth proportional to 82,532.54, 123,807.01 and 29,946.12 is: 44,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532.54 : 123,807.01 = 29,946.12 : x
  2. Step 2: Convert to fraction form
    82,532.54/123,807.01 = 29,946.12/x
  3. Step 3: Cross multiply
    82,532.54x = 123,807.01 × 29,946.12
  4. Step 4: Simplify right side
    82,532.54x = 3,707,539,578.30
  5. Step 5: Solve for x
    x = 3,707,539,578.30/82,532.54
  6. Step 6: Final answer
    x = 44,922.16

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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.