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Finding the Fourth Proportional to 35,673.20, 53,513 and 9,377.52

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Solution

The fourth proportional to 35,673.20, 53,513 and 9,377.52 is: 14,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,673.20 : 53,513 = 9,377.52 : x
  2. Step 2: Convert to fraction form
    35,673.20/53,513 = 9,377.52/x
  3. Step 3: Cross multiply
    35,673.20x = 53,513 × 9,377.52
  4. Step 4: Simplify right side
    35,673.20x = 501,819,227.76
  5. Step 5: Solve for x
    x = 501,819,227.76/35,673.20
  6. Step 6: Final answer
    x = 14,067.12

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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.