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Finding the Fourth Proportional to 82,902, 124,477.56 and 49,770.30

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Solution

The fourth proportional to 82,902, 124,477.56 and 49,770.30 is: 74,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,902 : 124,477.56 = 49,770.30 : x
  2. Step 2: Convert to fraction form
    82,902/124,477.56 = 49,770.30/x
  3. Step 3: Cross multiply
    82,902x = 124,477.56 × 49,770.30
  4. Step 4: Simplify right side
    82,902x = 6,195,285,504.47
  5. Step 5: Solve for x
    x = 6,195,285,504.47/82,902
  6. Step 6: Final answer
    x = 74,730.23

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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.