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Finding the Fourth Proportional to 67,779, 93,536.10 and 37,971

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Solution

The fourth proportional to 67,779, 93,536.10 and 37,971 is: 52,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,779 : 93,536.10 = 37,971 : x
  2. Step 2: Convert to fraction form
    67,779/93,536.10 = 37,971/x
  3. Step 3: Cross multiply
    67,779x = 93,536.10 × 37,971
  4. Step 4: Simplify right side
    67,779x = 3,551,659,253.10
  5. Step 5: Solve for x
    x = 3,551,659,253.10/67,779
  6. Step 6: Final answer
    x = 52,400.59

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1.5x scale

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.