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Finding the Fourth Proportional to 52,153.36, 71,952.78 and 34,258

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Solution

The fourth proportional to 52,153.36, 71,952.78 and 34,258 is: 47,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,153.36 : 71,952.78 = 34,258 : x
  2. Step 2: Convert to fraction form
    52,153.36/71,952.78 = 34,258/x
  3. Step 3: Cross multiply
    52,153.36x = 71,952.78 × 34,258
  4. Step 4: Simplify right side
    52,153.36x = 2,464,958,337.24
  5. Step 5: Solve for x
    x = 2,464,958,337.24/52,153.36
  6. Step 6: Final answer
    x = 47,263.65

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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.