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Finding the Fourth Proportional to 26,031.81, 39,043 and 7,307.25

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Solution

The fourth proportional to 26,031.81, 39,043 and 7,307.25 is: 10,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,031.81 : 39,043 = 7,307.25 : x
  2. Step 2: Convert to fraction form
    26,031.81/39,043 = 7,307.25/x
  3. Step 3: Cross multiply
    26,031.81x = 39,043 × 7,307.25
  4. Step 4: Simplify right side
    26,031.81x = 285,296,961.75
  5. Step 5: Solve for x
    x = 285,296,961.75/26,031.81
  6. Step 6: Final answer
    x = 10,959.55

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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.