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Finding the Fourth Proportional to 97,652, 134,774.14 and 61,845.34

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Solution

The fourth proportional to 97,652, 134,774.14 and 61,845.34 is: 85,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,652 : 134,774.14 = 61,845.34 : x
  2. Step 2: Convert to fraction form
    97,652/134,774.14 = 61,845.34/x
  3. Step 3: Cross multiply
    97,652x = 134,774.14 × 61,845.34
  4. Step 4: Simplify right side
    97,652x = 8,335,152,511.51
  5. Step 5: Solve for x
    x = 8,335,152,511.51/97,652
  6. Step 6: Final answer
    x = 85,355.68

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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.