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Finding the Fourth Proportional to 77,730, 107,267.40 and 44,196

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Solution

The fourth proportional to 77,730, 107,267.40 and 44,196 is: 60,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,730 : 107,267.40 = 44,196 : x
  2. Step 2: Convert to fraction form
    77,730/107,267.40 = 44,196/x
  3. Step 3: Cross multiply
    77,730x = 107,267.40 × 44,196
  4. Step 4: Simplify right side
    77,730x = 4,740,790,010.40
  5. Step 5: Solve for x
    x = 4,740,790,010.40/77,730
  6. Step 6: Final answer
    x = 60,990.48

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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.