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Finding the Fourth Proportional to 37,472.64, 51,712.74 and 20,477.22

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Solution

The fourth proportional to 37,472.64, 51,712.74 and 20,477.22 is: 28,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472.64 : 51,712.74 = 20,477.22 : x
  2. Step 2: Convert to fraction form
    37,472.64/51,712.74 = 20,477.22/x
  3. Step 3: Cross multiply
    37,472.64x = 51,712.74 × 20,477.22
  4. Step 4: Simplify right side
    37,472.64x = 1,058,933,153.78
  5. Step 5: Solve for x
    x = 1,058,933,153.78/37,472.64
  6. Step 6: Final answer
    x = 28,258.84

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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.