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Finding the Fourth Proportional to 97,648.94, 134,769.89 and 61,842.29

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Solution

The fourth proportional to 97,648.94, 134,769.89 and 61,842.29 is: 85,351.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648.94 : 134,769.89 = 61,842.29 : x
  2. Step 2: Convert to fraction form
    97,648.94/134,769.89 = 61,842.29/x
  3. Step 3: Cross multiply
    97,648.94x = 134,769.89 × 61,842.29
  4. Step 4: Simplify right side
    97,648.94x = 8,334,478,101.40
  5. Step 5: Solve for x
    x = 8,334,478,101.40/97,648.94
  6. Step 6: Final answer
    x = 85,351.44

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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.