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Finding the Fourth Proportional to 82,355.40, 123,532.74 and 20,026.08

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Solution

The fourth proportional to 82,355.40, 123,532.74 and 20,026.08 is: 30,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,355.40 : 123,532.74 = 20,026.08 : x
  2. Step 2: Convert to fraction form
    82,355.40/123,532.74 = 20,026.08/x
  3. Step 3: Cross multiply
    82,355.40x = 123,532.74 × 20,026.08
  4. Step 4: Simplify right side
    82,355.40x = 2,473,876,533.86
  5. Step 5: Solve for x
    x = 2,473,876,533.86/82,355.40
  6. Step 6: Final answer
    x = 30,039.03

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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.