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Finding the Fourth Proportional to 82,864.30, 124,296.45 and 36,208.30

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Solution

The fourth proportional to 82,864.30, 124,296.45 and 36,208.30 is: 54,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,864.30 : 124,296.45 = 36,208.30 : x
  2. Step 2: Convert to fraction form
    82,864.30/124,296.45 = 36,208.30/x
  3. Step 3: Cross multiply
    82,864.30x = 124,296.45 × 36,208.30
  4. Step 4: Simplify right side
    82,864.30x = 4,500,563,150.54
  5. Step 5: Solve for x
    x = 4,500,563,150.54/82,864.30
  6. Step 6: Final answer
    x = 54,312.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.