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Finding the Fourth Proportional to 72,460.98, 108,737.64 and 33,022.08

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Solution

The fourth proportional to 72,460.98, 108,737.64 and 33,022.08 is: 49,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,460.98 : 108,737.64 = 33,022.08 : x
  2. Step 2: Convert to fraction form
    72,460.98/108,737.64 = 33,022.08/x
  3. Step 3: Cross multiply
    72,460.98x = 108,737.64 × 33,022.08
  4. Step 4: Simplify right side
    72,460.98x = 3,590,743,047.09
  5. Step 5: Solve for x
    x = 3,590,743,047.09/72,460.98
  6. Step 6: Final answer
    x = 49,554.16

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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.