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Finding the Fourth Proportional to 53,831.86, 81,253.43 and 53,831.86

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Solution

The fourth proportional to 53,831.86, 81,253.43 and 53,831.86 is: 81,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,831.86 : 81,253.43 = 53,831.86 : x
  2. Step 2: Convert to fraction form
    53,831.86/81,253.43 = 53,831.86/x
  3. Step 3: Cross multiply
    53,831.86x = 81,253.43 × 53,831.86
  4. Step 4: Simplify right side
    53,831.86x = 4,374,023,268.28
  5. Step 5: Solve for x
    x = 4,374,023,268.28/53,831.86
  6. Step 6: Final answer
    x = 81,253.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.