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Finding the Fourth Proportional to 61,176.22, 84,405.82 and 35,683.70

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Solution

The fourth proportional to 61,176.22, 84,405.82 and 35,683.70 is: 49,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,176.22 : 84,405.82 = 35,683.70 : x
  2. Step 2: Convert to fraction form
    61,176.22/84,405.82 = 35,683.70/x
  3. Step 3: Cross multiply
    61,176.22x = 84,405.82 × 35,683.70
  4. Step 4: Simplify right side
    61,176.22x = 3,011,911,959.13
  5. Step 5: Solve for x
    x = 3,011,911,959.13/61,176.22
  6. Step 6: Final answer
    x = 49,233.38

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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.