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Finding the Fourth Proportional to 97,577.04, 134,752 and 83,346.96

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Solution

The fourth proportional to 97,577.04, 134,752 and 83,346.96 is: 115,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,577.04 : 134,752 = 83,346.96 : x
  2. Step 2: Convert to fraction form
    97,577.04/134,752 = 83,346.96/x
  3. Step 3: Cross multiply
    97,577.04x = 134,752 × 83,346.96
  4. Step 4: Simplify right side
    97,577.04x = 11,231,169,553.92
  5. Step 5: Solve for x
    x = 11,231,169,553.92/97,577.04
  6. Step 6: Final answer
    x = 115,100.54

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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.