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Finding the Fourth Proportional to 61,057.91, 84,259.41 and 34,200.67

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Solution

The fourth proportional to 61,057.91, 84,259.41 and 34,200.67 is: 47,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,057.91 : 84,259.41 = 34,200.67 : x
  2. Step 2: Convert to fraction form
    61,057.91/84,259.41 = 34,200.67/x
  3. Step 3: Cross multiply
    61,057.91x = 84,259.41 × 34,200.67
  4. Step 4: Simplify right side
    61,057.91x = 2,881,727,854.51
  5. Step 5: Solve for x
    x = 2,881,727,854.51/61,057.91
  6. Step 6: Final answer
    x = 47,196.64

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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.