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Finding the Fourth Proportional to 82,368.54, 123,582.24 and 32,421.06

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Solution

The fourth proportional to 82,368.54, 123,582.24 and 32,421.06 is: 48,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368.54 : 123,582.24 = 32,421.06 : x
  2. Step 2: Convert to fraction form
    82,368.54/123,582.24 = 32,421.06/x
  3. Step 3: Cross multiply
    82,368.54x = 123,582.24 × 32,421.06
  4. Step 4: Simplify right side
    82,368.54x = 4,006,667,217.97
  5. Step 5: Solve for x
    x = 4,006,667,217.97/82,368.54
  6. Step 6: Final answer
    x = 48,643.17

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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.