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Finding the Fourth Proportional to 105,031.54, 157,546.50 and 26,145.24

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Solution

The fourth proportional to 105,031.54, 157,546.50 and 26,145.24 is: 39,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,031.54 : 157,546.50 = 26,145.24 : x
  2. Step 2: Convert to fraction form
    105,031.54/157,546.50 = 26,145.24/x
  3. Step 3: Cross multiply
    105,031.54x = 157,546.50 × 26,145.24
  4. Step 4: Simplify right side
    105,031.54x = 4,119,091,053.66
  5. Step 5: Solve for x
    x = 4,119,091,053.66/105,031.54
  6. Step 6: Final answer
    x = 39,217.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.