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Finding the Fourth Proportional to 61,214.50, 84,474.90 and 34,354.90

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Solution

The fourth proportional to 61,214.50, 84,474.90 and 34,354.90 is: 47,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,214.50 : 84,474.90 = 34,354.90 : x
  2. Step 2: Convert to fraction form
    61,214.50/84,474.90 = 34,354.90/x
  3. Step 3: Cross multiply
    61,214.50x = 84,474.90 × 34,354.90
  4. Step 4: Simplify right side
    61,214.50x = 2,902,126,742.01
  5. Step 5: Solve for x
    x = 2,902,126,742.01/61,214.50
  6. Step 6: Final answer
    x = 47,409.14

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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.