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Finding the Fourth Proportional to 53,472.83, 73,810.95 and 30,820.84

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Solution

The fourth proportional to 53,472.83, 73,810.95 and 30,820.84 is: 42,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,472.83 : 73,810.95 = 30,820.84 : x
  2. Step 2: Convert to fraction form
    53,472.83/73,810.95 = 30,820.84/x
  3. Step 3: Cross multiply
    53,472.83x = 73,810.95 × 30,820.84
  4. Step 4: Simplify right side
    53,472.83x = 2,274,915,180.09
  5. Step 5: Solve for x
    x = 2,274,915,180.09/53,472.83
  6. Step 6: Final answer
    x = 42,543.39

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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.