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Finding the Fourth Proportional to 51,202.30, 76,803.45 and 14,266.30

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Solution

The fourth proportional to 51,202.30, 76,803.45 and 14,266.30 is: 21,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,202.30 : 76,803.45 = 14,266.30 : x
  2. Step 2: Convert to fraction form
    51,202.30/76,803.45 = 14,266.30/x
  3. Step 3: Cross multiply
    51,202.30x = 76,803.45 × 14,266.30
  4. Step 4: Simplify right side
    51,202.30x = 1,095,701,058.74
  5. Step 5: Solve for x
    x = 1,095,701,058.74/51,202.30
  6. Step 6: Final answer
    x = 21,399.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.