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Finding the Fourth Proportional to 56,192.49, 77,542.16 and 30,693.69

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Solution

The fourth proportional to 56,192.49, 77,542.16 and 30,693.69 is: 42,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,192.49 : 77,542.16 = 30,693.69 : x
  2. Step 2: Convert to fraction form
    56,192.49/77,542.16 = 30,693.69/x
  3. Step 3: Cross multiply
    56,192.49x = 77,542.16 × 30,693.69
  4. Step 4: Simplify right side
    56,192.49x = 2,380,054,867.50
  5. Step 5: Solve for x
    x = 2,380,054,867.50/56,192.49
  6. Step 6: Final answer
    x = 42,355.39

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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.