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Finding the Fourth Proportional to 76,253.64, 105,204.78 and 46,027.44

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Solution

The fourth proportional to 76,253.64, 105,204.78 and 46,027.44 is: 63,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,253.64 : 105,204.78 = 46,027.44 : x
  2. Step 2: Convert to fraction form
    76,253.64/105,204.78 = 46,027.44/x
  3. Step 3: Cross multiply
    76,253.64x = 105,204.78 × 46,027.44
  4. Step 4: Simplify right side
    76,253.64x = 4,842,306,699.16
  5. Step 5: Solve for x
    x = 4,842,306,699.16/76,253.64
  6. Step 6: Final answer
    x = 63,502.63

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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.