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Finding the Fourth Proportional to 65,830.32, 90,847.44 and 37,536.48

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Solution

The fourth proportional to 65,830.32, 90,847.44 and 37,536.48 is: 51,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.32 : 90,847.44 = 37,536.48 : x
  2. Step 2: Convert to fraction form
    65,830.32/90,847.44 = 37,536.48/x
  3. Step 3: Cross multiply
    65,830.32x = 90,847.44 × 37,536.48
  4. Step 4: Simplify right side
    65,830.32x = 3,410,093,114.61
  5. Step 5: Solve for x
    x = 3,410,093,114.61/65,830.32
  6. Step 6: Final answer
    x = 51,801.25

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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.