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Finding the Fourth Proportional to 65,831.64, 90,847.62 and 37,157.34

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Solution

The fourth proportional to 65,831.64, 90,847.62 and 37,157.34 is: 51,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831.64 : 90,847.62 = 37,157.34 : x
  2. Step 2: Convert to fraction form
    65,831.64/90,847.62 = 37,157.34/x
  3. Step 3: Cross multiply
    65,831.64x = 90,847.62 × 37,157.34
  4. Step 4: Simplify right side
    65,831.64x = 3,375,655,904.53
  5. Step 5: Solve for x
    x = 3,375,655,904.53/65,831.64
  6. Step 6: Final answer
    x = 51,277.10

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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.