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Finding the Fourth Proportional to 52,093.02, 71,888.08 and 28,220.16

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Solution

The fourth proportional to 52,093.02, 71,888.08 and 28,220.16 is: 38,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093.02 : 71,888.08 = 28,220.16 : x
  2. Step 2: Convert to fraction form
    52,093.02/71,888.08 = 28,220.16/x
  3. Step 3: Cross multiply
    52,093.02x = 71,888.08 × 28,220.16
  4. Step 4: Simplify right side
    52,093.02x = 2,028,693,119.69
  5. Step 5: Solve for x
    x = 2,028,693,119.69/52,093.02
  6. Step 6: Final answer
    x = 38,943.66

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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.