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Finding the Fourth Proportional to 52,507.01, 78,710.58 and 33,478.22

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Solution

The fourth proportional to 52,507.01, 78,710.58 and 33,478.22 is: 50,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.01 : 78,710.58 = 33,478.22 : x
  2. Step 2: Convert to fraction form
    52,507.01/78,710.58 = 33,478.22/x
  3. Step 3: Cross multiply
    52,507.01x = 78,710.58 × 33,478.22
  4. Step 4: Simplify right side
    52,507.01x = 2,635,090,113.57
  5. Step 5: Solve for x
    x = 2,635,090,113.57/52,507.01
  6. Step 6: Final answer
    x = 50,185.49

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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.