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Finding the Fourth Proportional to 65,685.46, 90,646.21 and 37,005.46

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Solution

The fourth proportional to 65,685.46, 90,646.21 and 37,005.46 is: 51,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,685.46 : 90,646.21 = 37,005.46 : x
  2. Step 2: Convert to fraction form
    65,685.46/90,646.21 = 37,005.46/x
  3. Step 3: Cross multiply
    65,685.46x = 90,646.21 × 37,005.46
  4. Step 4: Simplify right side
    65,685.46x = 3,354,404,698.31
  5. Step 5: Solve for x
    x = 3,354,404,698.31/65,685.46
  6. Step 6: Final answer
    x = 51,067.69

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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.