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Finding the Fourth Proportional to 56,116, 77,440.16 and 30,965.44

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Solution

The fourth proportional to 56,116, 77,440.16 and 30,965.44 is: 42,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,116 : 77,440.16 = 30,965.44 : x
  2. Step 2: Convert to fraction form
    56,116/77,440.16 = 30,965.44/x
  3. Step 3: Cross multiply
    56,116x = 77,440.16 × 30,965.44
  4. Step 4: Simplify right side
    56,116x = 2,397,968,628.07
  5. Step 5: Solve for x
    x = 2,397,968,628.07/56,116
  6. Step 6: Final answer
    x = 42,732.35

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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.