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Finding the Fourth Proportional to 97,228, 134,174.74 and 52,516

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Solution

The fourth proportional to 97,228, 134,174.74 and 52,516 is: 72,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,228 : 134,174.74 = 52,516 : x
  2. Step 2: Convert to fraction form
    97,228/134,174.74 = 52,516/x
  3. Step 3: Cross multiply
    97,228x = 134,174.74 × 52,516
  4. Step 4: Simplify right side
    97,228x = 7,046,320,645.84
  5. Step 5: Solve for x
    x = 7,046,320,645.84/97,228
  6. Step 6: Final answer
    x = 72,472.13

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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.