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Finding the Fourth Proportional to 53,831.60, 80,601.60 and 42,167.60

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Solution

The fourth proportional to 53,831.60, 80,601.60 and 42,167.60 is: 63,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,831.60 : 80,601.60 = 42,167.60 : x
  2. Step 2: Convert to fraction form
    53,831.60/80,601.60 = 42,167.60/x
  3. Step 3: Cross multiply
    53,831.60x = 80,601.60 × 42,167.60
  4. Step 4: Simplify right side
    53,831.60x = 3,398,776,028.16
  5. Step 5: Solve for x
    x = 3,398,776,028.16/53,831.60
  6. Step 6: Final answer
    x = 63,137.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.