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Finding the Fourth Proportional to 52,465.48, 78,721.43 and 27,499.54

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Solution

The fourth proportional to 52,465.48, 78,721.43 and 27,499.54 is: 41,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,465.48 : 78,721.43 = 27,499.54 : x
  2. Step 2: Convert to fraction form
    52,465.48/78,721.43 = 27,499.54/x
  3. Step 3: Cross multiply
    52,465.48x = 78,721.43 × 27,499.54
  4. Step 4: Simplify right side
    52,465.48x = 2,164,803,113.14
  5. Step 5: Solve for x
    x = 2,164,803,113.14/52,465.48
  6. Step 6: Final answer
    x = 41,261.48

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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.