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Finding the Fourth Proportional to 74,842.94, 112,321.51 and 27,502.89

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Solution

The fourth proportional to 74,842.94, 112,321.51 and 27,502.89 is: 41,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,842.94 : 112,321.51 = 27,502.89 : x
  2. Step 2: Convert to fraction form
    74,842.94/112,321.51 = 27,502.89/x
  3. Step 3: Cross multiply
    74,842.94x = 112,321.51 × 27,502.89
  4. Step 4: Simplify right side
    74,842.94x = 3,089,166,134.16
  5. Step 5: Solve for x
    x = 3,089,166,134.16/74,842.94
  6. Step 6: Final answer
    x = 41,275.32

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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.