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Finding the Fourth Proportional to 77,627, 107,125.26 and 42,299

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Solution

The fourth proportional to 77,627, 107,125.26 and 42,299 is: 58,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,627 : 107,125.26 = 42,299 : x
  2. Step 2: Convert to fraction form
    77,627/107,125.26 = 42,299/x
  3. Step 3: Cross multiply
    77,627x = 107,125.26 × 42,299
  4. Step 4: Simplify right side
    77,627x = 4,531,291,372.74
  5. Step 5: Solve for x
    x = 4,531,291,372.74/77,627
  6. Step 6: Final answer
    x = 58,372.62

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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.