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Finding the Fourth Proportional to 72,751.09, 100,410.29 and 45,539.82

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Solution

The fourth proportional to 72,751.09, 100,410.29 and 45,539.82 is: 62,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,751.09 : 100,410.29 = 45,539.82 : x
  2. Step 2: Convert to fraction form
    72,751.09/100,410.29 = 45,539.82/x
  3. Step 3: Cross multiply
    72,751.09x = 100,410.29 × 45,539.82
  4. Step 4: Simplify right side
    72,751.09x = 4,572,666,532.75
  5. Step 5: Solve for x
    x = 4,572,666,532.75/72,751.09
  6. Step 6: Final answer
    x = 62,853.58

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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.