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Finding the Fourth Proportional to 47,701.53, 65,831.19 and 27,559.26

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Solution

The fourth proportional to 47,701.53, 65,831.19 and 27,559.26 is: 38,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,701.53 : 65,831.19 = 27,559.26 : x
  2. Step 2: Convert to fraction form
    47,701.53/65,831.19 = 27,559.26/x
  3. Step 3: Cross multiply
    47,701.53x = 65,831.19 × 27,559.26
  4. Step 4: Simplify right side
    47,701.53x = 1,814,258,881.32
  5. Step 5: Solve for x
    x = 1,814,258,881.32/47,701.53
  6. Step 6: Final answer
    x = 38,033.56

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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.