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Finding the Fourth Proportional to 174,438, 261,659.52 and 49,779

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Solution

The fourth proportional to 174,438, 261,659.52 and 49,779 is: 74,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,438 : 261,659.52 = 49,779 : x
  2. Step 2: Convert to fraction form
    174,438/261,659.52 = 49,779/x
  3. Step 3: Cross multiply
    174,438x = 261,659.52 × 49,779
  4. Step 4: Simplify right side
    174,438x = 13,025,149,246.08
  5. Step 5: Solve for x
    x = 13,025,149,246.08/174,438
  6. Step 6: Final answer
    x = 74,669.22

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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.