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Finding the Fourth Proportional to 37,212.16, 51,314.16 and 25,894.48

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Solution

The fourth proportional to 37,212.16, 51,314.16 and 25,894.48 is: 35,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,212.16 : 51,314.16 = 25,894.48 : x
  2. Step 2: Convert to fraction form
    37,212.16/51,314.16 = 25,894.48/x
  3. Step 3: Cross multiply
    37,212.16x = 51,314.16 × 25,894.48
  4. Step 4: Simplify right side
    37,212.16x = 1,328,753,489.84
  5. Step 5: Solve for x
    x = 1,328,753,489.84/37,212.16
  6. Step 6: Final answer
    x = 35,707.51

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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.