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Finding the Fourth Proportional to 72,243.92, 108,365.88 and 35,282

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Solution

The fourth proportional to 72,243.92, 108,365.88 and 35,282 is: 52,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,243.92 : 108,365.88 = 35,282 : x
  2. Step 2: Convert to fraction form
    72,243.92/108,365.88 = 35,282/x
  3. Step 3: Cross multiply
    72,243.92x = 108,365.88 × 35,282
  4. Step 4: Simplify right side
    72,243.92x = 3,823,364,978.16
  5. Step 5: Solve for x
    x = 3,823,364,978.16/72,243.92
  6. Step 6: Final answer
    x = 52,923.00

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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.