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Finding the Fourth Proportional to 35,498.88, 53,251.52 and 9,203.52

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Solution

The fourth proportional to 35,498.88, 53,251.52 and 9,203.52 is: 13,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498.88 : 53,251.52 = 9,203.52 : x
  2. Step 2: Convert to fraction form
    35,498.88/53,251.52 = 9,203.52/x
  3. Step 3: Cross multiply
    35,498.88x = 53,251.52 × 9,203.52
  4. Step 4: Simplify right side
    35,498.88x = 490,101,429.35
  5. Step 5: Solve for x
    x = 490,101,429.35/35,498.88
  6. Step 6: Final answer
    x = 13,806.11

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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.