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Finding the Fourth Proportional to 32,779, 45,235.26 and 17,875

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Solution

The fourth proportional to 32,779, 45,235.26 and 17,875 is: 24,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,779 : 45,235.26 = 17,875 : x
  2. Step 2: Convert to fraction form
    32,779/45,235.26 = 17,875/x
  3. Step 3: Cross multiply
    32,779x = 45,235.26 × 17,875
  4. Step 4: Simplify right side
    32,779x = 808,580,272.50
  5. Step 5: Solve for x
    x = 808,580,272.50/32,779
  6. Step 6: Final answer
    x = 24,667.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.