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Finding the Fourth Proportional to 61,412.94, 84,751.50 and 34,556.40

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Solution

The fourth proportional to 61,412.94, 84,751.50 and 34,556.40 is: 47,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,412.94 : 84,751.50 = 34,556.40 : x
  2. Step 2: Convert to fraction form
    61,412.94/84,751.50 = 34,556.40/x
  3. Step 3: Cross multiply
    61,412.94x = 84,751.50 × 34,556.40
  4. Step 4: Simplify right side
    61,412.94x = 2,928,706,734.60
  5. Step 5: Solve for x
    x = 2,928,706,734.60/61,412.94
  6. Step 6: Final answer
    x = 47,688.76

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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.