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Finding the Fourth Proportional to 61,154.34, 84,434.40 and 38,219.19

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Solution

The fourth proportional to 61,154.34, 84,434.40 and 38,219.19 is: 52,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,154.34 : 84,434.40 = 38,219.19 : x
  2. Step 2: Convert to fraction form
    61,154.34/84,434.40 = 38,219.19/x
  3. Step 3: Cross multiply
    61,154.34x = 84,434.40 × 38,219.19
  4. Step 4: Simplify right side
    61,154.34x = 3,227,014,376.14
  5. Step 5: Solve for x
    x = 3,227,014,376.14/61,154.34
  6. Step 6: Final answer
    x = 52,768.36

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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.