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Finding the Fourth Proportional to 77,621, 107,116.98 and 42,293

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Solution

The fourth proportional to 77,621, 107,116.98 and 42,293 is: 58,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,621 : 107,116.98 = 42,293 : x
  2. Step 2: Convert to fraction form
    77,621/107,116.98 = 42,293/x
  3. Step 3: Cross multiply
    77,621x = 107,116.98 × 42,293
  4. Step 4: Simplify right side
    77,621x = 4,530,298,435.14
  5. Step 5: Solve for x
    x = 4,530,298,435.14/77,621
  6. Step 6: Final answer
    x = 58,364.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.