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Finding the Fourth Proportional to 82,370.96, 123,509.63 and 32,424

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Solution

The fourth proportional to 82,370.96, 123,509.63 and 32,424 is: 48,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,370.96 : 123,509.63 = 32,424 : x
  2. Step 2: Convert to fraction form
    82,370.96/123,509.63 = 32,424/x
  3. Step 3: Cross multiply
    82,370.96x = 123,509.63 × 32,424
  4. Step 4: Simplify right side
    82,370.96x = 4,004,676,081
  5. Step 5: Solve for x
    x = 4,004,676,081/82,370.96
  6. Step 6: Final answer
    x = 48,617.57

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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.