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Finding the Fourth Proportional to 39,145.16, 58,717.54 and 9,563.16

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Solution

The fourth proportional to 39,145.16, 58,717.54 and 9,563.16 is: 14,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,145.16 : 58,717.54 = 9,563.16 : x
  2. Step 2: Convert to fraction form
    39,145.16/58,717.54 = 9,563.16/x
  3. Step 3: Cross multiply
    39,145.16x = 58,717.54 × 9,563.16
  4. Step 4: Simplify right side
    39,145.16x = 561,525,229.83
  5. Step 5: Solve for x
    x = 561,525,229.83/39,145.16
  6. Step 6: Final answer
    x = 14,344.69

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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.