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Finding the Fourth Proportional to 76,502.93, 114,707.42 and 26,561.57

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Solution

The fourth proportional to 76,502.93, 114,707.42 and 26,561.57 is: 39,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502.93 : 114,707.42 = 26,561.57 : x
  2. Step 2: Convert to fraction form
    76,502.93/114,707.42 = 26,561.57/x
  3. Step 3: Cross multiply
    76,502.93x = 114,707.42 × 26,561.57
  4. Step 4: Simplify right side
    76,502.93x = 3,046,809,033.04
  5. Step 5: Solve for x
    x = 3,046,809,033.04/76,502.93
  6. Step 6: Final answer
    x = 39,826.04

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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.