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Finding the Fourth Proportional to 52,464.48, 78,719.93 and 27,498.54

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Solution

The fourth proportional to 52,464.48, 78,719.93 and 27,498.54 is: 41,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,464.48 : 78,719.93 = 27,498.54 : x
  2. Step 2: Convert to fraction form
    52,464.48/78,719.93 = 27,498.54/x
  3. Step 3: Cross multiply
    52,464.48x = 78,719.93 × 27,498.54
  4. Step 4: Simplify right side
    52,464.48x = 2,164,683,143.90
  5. Step 5: Solve for x
    x = 2,164,683,143.90/52,464.48
  6. Step 6: Final answer
    x = 41,259.98

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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.