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Finding the Fourth Proportional to 76,442.81, 114,620.06 and 29,641.01

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Solution

The fourth proportional to 76,442.81, 114,620.06 and 29,641.01 is: 44,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.81 : 114,620.06 = 29,641.01 : x
  2. Step 2: Convert to fraction form
    76,442.81/114,620.06 = 29,641.01/x
  3. Step 3: Cross multiply
    76,442.81x = 114,620.06 × 29,641.01
  4. Step 4: Simplify right side
    76,442.81x = 3,397,453,845.66
  5. Step 5: Solve for x
    x = 3,397,453,845.66/76,442.81
  6. Step 6: Final answer
    x = 44,444.39

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Why These Related Problems?

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