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Finding the Fourth Proportional to 52,407.78, 72,332.98 and 33,309.80

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Solution

The fourth proportional to 52,407.78, 72,332.98 and 33,309.80 is: 45,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.78 : 72,332.98 = 33,309.80 : x
  2. Step 2: Convert to fraction form
    52,407.78/72,332.98 = 33,309.80/x
  3. Step 3: Cross multiply
    52,407.78x = 72,332.98 × 33,309.80
  4. Step 4: Simplify right side
    52,407.78x = 2,409,397,097.20
  5. Step 5: Solve for x
    x = 2,409,397,097.20/52,407.78
  6. Step 6: Final answer
    x = 45,974.03

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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.