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Finding the Fourth Proportional to 37,784.25, 52,142.57 and 21,017.25

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Solution

The fourth proportional to 37,784.25, 52,142.57 and 21,017.25 is: 29,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,784.25 : 52,142.57 = 21,017.25 : x
  2. Step 2: Convert to fraction form
    37,784.25/52,142.57 = 21,017.25/x
  3. Step 3: Cross multiply
    37,784.25x = 52,142.57 × 21,017.25
  4. Step 4: Simplify right side
    37,784.25x = 1,095,893,403.06
  5. Step 5: Solve for x
    x = 1,095,893,403.06/37,784.25
  6. Step 6: Final answer
    x = 29,003.97

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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.