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Finding the Fourth Proportional to 31,709.10, 43,758.54 and 17,561.93

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Solution

The fourth proportional to 31,709.10, 43,758.54 and 17,561.93 is: 24,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.10 : 43,758.54 = 17,561.93 : x
  2. Step 2: Convert to fraction form
    31,709.10/43,758.54 = 17,561.93/x
  3. Step 3: Cross multiply
    31,709.10x = 43,758.54 × 17,561.93
  4. Step 4: Simplify right side
    31,709.10x = 768,484,416.38
  5. Step 5: Solve for x
    x = 768,484,416.38/31,709.10
  6. Step 6: Final answer
    x = 24,235.45

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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.