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Finding the Fourth Proportional to 35,640.88, 53,458.20 and 10,686.50

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Solution

The fourth proportional to 35,640.88, 53,458.20 and 10,686.50 is: 16,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,640.88 : 53,458.20 = 10,686.50 : x
  2. Step 2: Convert to fraction form
    35,640.88/53,458.20 = 10,686.50/x
  3. Step 3: Cross multiply
    35,640.88x = 53,458.20 × 10,686.50
  4. Step 4: Simplify right side
    35,640.88x = 571,281,054.30
  5. Step 5: Solve for x
    x = 571,281,054.30/35,640.88
  6. Step 6: Final answer
    x = 16,028.81

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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.