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Finding the Fourth Proportional to 37,838, 52,129.50 and 29,877.32

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Solution

The fourth proportional to 37,838, 52,129.50 and 29,877.32 is: 41,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838 : 52,129.50 = 29,877.32 : x
  2. Step 2: Convert to fraction form
    37,838/52,129.50 = 29,877.32/x
  3. Step 3: Cross multiply
    37,838x = 52,129.50 × 29,877.32
  4. Step 4: Simplify right side
    37,838x = 1,557,489,752.94
  5. Step 5: Solve for x
    x = 1,557,489,752.94/37,838
  6. Step 6: Final answer
    x = 41,162.05

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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.