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Finding the Fourth Proportional to 76,046.31, 104,944.14 and 42,512.31

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Solution

The fourth proportional to 76,046.31, 104,944.14 and 42,512.31 is: 58,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,046.31 : 104,944.14 = 42,512.31 : x
  2. Step 2: Convert to fraction form
    76,046.31/104,944.14 = 42,512.31/x
  3. Step 3: Cross multiply
    76,046.31x = 104,944.14 × 42,512.31
  4. Step 4: Simplify right side
    76,046.31x = 4,461,417,812.36
  5. Step 5: Solve for x
    x = 4,461,417,812.36/76,046.31
  6. Step 6: Final answer
    x = 58,667.12

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1.5x scale

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.