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Finding the Fourth Proportional to 94,216.72, 130,016.46 and 51,775.24

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Solution

The fourth proportional to 94,216.72, 130,016.46 and 51,775.24 is: 71,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,216.72 : 130,016.46 = 51,775.24 : x
  2. Step 2: Convert to fraction form
    94,216.72/130,016.46 = 51,775.24/x
  3. Step 3: Cross multiply
    94,216.72x = 130,016.46 × 51,775.24
  4. Step 4: Simplify right side
    94,216.72x = 6,731,633,420.45
  5. Step 5: Solve for x
    x = 6,731,633,420.45/94,216.72
  6. Step 6: Final answer
    x = 71,448.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.