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Finding the Fourth Proportional to 50,703.66, 76,065.66 and 15,642

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Solution

The fourth proportional to 50,703.66, 76,065.66 and 15,642 is: 23,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,703.66 : 76,065.66 = 15,642 : x
  2. Step 2: Convert to fraction form
    50,703.66/76,065.66 = 15,642/x
  3. Step 3: Cross multiply
    50,703.66x = 76,065.66 × 15,642
  4. Step 4: Simplify right side
    50,703.66x = 1,189,819,053.72
  5. Step 5: Solve for x
    x = 1,189,819,053.72/50,703.66
  6. Step 6: Final answer
    x = 23,466.14

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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.