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Finding the Fourth Proportional to 82,401.69, 123,602.54 and 29,798.88

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Solution

The fourth proportional to 82,401.69, 123,602.54 and 29,798.88 is: 44,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,401.69 : 123,602.54 = 29,798.88 : x
  2. Step 2: Convert to fraction form
    82,401.69/123,602.54 = 29,798.88/x
  3. Step 3: Cross multiply
    82,401.69x = 123,602.54 × 29,798.88
  4. Step 4: Simplify right side
    82,401.69x = 3,683,217,257.16
  5. Step 5: Solve for x
    x = 3,683,217,257.16/82,401.69
  6. Step 6: Final answer
    x = 44,698.32

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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.