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Finding the Fourth Proportional to 97,408, 134,423.22 and 52,696

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Solution

The fourth proportional to 97,408, 134,423.22 and 52,696 is: 72,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,408 : 134,423.22 = 52,696 : x
  2. Step 2: Convert to fraction form
    97,408/134,423.22 = 52,696/x
  3. Step 3: Cross multiply
    97,408x = 134,423.22 × 52,696
  4. Step 4: Simplify right side
    97,408x = 7,083,566,001.12
  5. Step 5: Solve for x
    x = 7,083,566,001.12/97,408
  6. Step 6: Final answer
    x = 72,720.58

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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.