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Finding the Fourth Proportional to 37,664, 56,471.04 and 17,945.60

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Solution

The fourth proportional to 37,664, 56,471.04 and 17,945.60 is: 26,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664 : 56,471.04 = 17,945.60 : x
  2. Step 2: Convert to fraction form
    37,664/56,471.04 = 17,945.60/x
  3. Step 3: Cross multiply
    37,664x = 56,471.04 × 17,945.60
  4. Step 4: Simplify right side
    37,664x = 1,013,406,695.42
  5. Step 5: Solve for x
    x = 1,013,406,695.42/37,664
  6. Step 6: Final answer
    x = 26,906.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.