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Finding the Fourth Proportional to 73,831.80, 101,852.46 and 53,657.40

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Solution

The fourth proportional to 73,831.80, 101,852.46 and 53,657.40 is: 74,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,831.80 : 101,852.46 = 53,657.40 : x
  2. Step 2: Convert to fraction form
    73,831.80/101,852.46 = 53,657.40/x
  3. Step 3: Cross multiply
    73,831.80x = 101,852.46 × 53,657.40
  4. Step 4: Simplify right side
    73,831.80x = 5,465,138,187.20
  5. Step 5: Solve for x
    x = 5,465,138,187.20/73,831.80
  6. Step 6: Final answer
    x = 74,021.47

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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.