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Finding the Fourth Proportional to 97,224, 134,154.54 and 54,781.62

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Solution

The fourth proportional to 97,224, 134,154.54 and 54,781.62 is: 75,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,224 : 134,154.54 = 54,781.62 : x
  2. Step 2: Convert to fraction form
    97,224/134,154.54 = 54,781.62/x
  3. Step 3: Cross multiply
    97,224x = 134,154.54 × 54,781.62
  4. Step 4: Simplify right side
    97,224x = 7,349,203,031.55
  5. Step 5: Solve for x
    x = 7,349,203,031.55/97,224
  6. Step 6: Final answer
    x = 75,590.42

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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.