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Finding the Fourth Proportional to 76,422.70, 114,634.05 and 41,430.70

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Solution

The fourth proportional to 76,422.70, 114,634.05 and 41,430.70 is: 62,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422.70 : 114,634.05 = 41,430.70 : x
  2. Step 2: Convert to fraction form
    76,422.70/114,634.05 = 41,430.70/x
  3. Step 3: Cross multiply
    76,422.70x = 114,634.05 × 41,430.70
  4. Step 4: Simplify right side
    76,422.70x = 4,749,368,935.34
  5. Step 5: Solve for x
    x = 4,749,368,935.34/76,422.70
  6. Step 6: Final answer
    x = 62,146.05

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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.