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Finding the Fourth Proportional to 37,232, 51,380.24 and 20,465.12

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Solution

The fourth proportional to 37,232, 51,380.24 and 20,465.12 is: 28,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,232 : 51,380.24 = 20,465.12 : x
  2. Step 2: Convert to fraction form
    37,232/51,380.24 = 20,465.12/x
  3. Step 3: Cross multiply
    37,232x = 51,380.24 × 20,465.12
  4. Step 4: Simplify right side
    37,232x = 1,051,502,777.23
  5. Step 5: Solve for x
    x = 1,051,502,777.23/37,232
  6. Step 6: Final answer
    x = 28,241.91

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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.