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Finding the Fourth Proportional to 56,141.46, 77,475.03 and 30,990.78

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Solution

The fourth proportional to 56,141.46, 77,475.03 and 30,990.78 is: 42,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,141.46 : 77,475.03 = 30,990.78 : x
  2. Step 2: Convert to fraction form
    56,141.46/77,475.03 = 30,990.78/x
  3. Step 3: Cross multiply
    56,141.46x = 77,475.03 × 30,990.78
  4. Step 4: Simplify right side
    56,141.46x = 2,401,011,610.22
  5. Step 5: Solve for x
    x = 2,401,011,610.22/56,141.46
  6. Step 6: Final answer
    x = 42,767.17

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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.