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Finding the Fourth Proportional to 61,412.84, 84,751.37 and 34,556.30

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Solution

The fourth proportional to 61,412.84, 84,751.37 and 34,556.30 is: 47,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,412.84 : 84,751.37 = 34,556.30 : x
  2. Step 2: Convert to fraction form
    61,412.84/84,751.37 = 34,556.30/x
  3. Step 3: Cross multiply
    61,412.84x = 84,751.37 × 34,556.30
  4. Step 4: Simplify right side
    61,412.84x = 2,928,693,767.13
  5. Step 5: Solve for x
    x = 2,928,693,767.13/61,412.84
  6. Step 6: Final answer
    x = 47,688.62

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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.