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Finding the Fourth Proportional to 82,029.40, 123,044.10 and 55,785.40

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Solution

The fourth proportional to 82,029.40, 123,044.10 and 55,785.40 is: 83,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,029.40 : 123,044.10 = 55,785.40 : x
  2. Step 2: Convert to fraction form
    82,029.40/123,044.10 = 55,785.40/x
  3. Step 3: Cross multiply
    82,029.40x = 123,044.10 × 55,785.40
  4. Step 4: Simplify right side
    82,029.40x = 6,864,064,336.14
  5. Step 5: Solve for x
    x = 6,864,064,336.14/82,029.40
  6. Step 6: Final answer
    x = 83,678.10

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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.