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Finding the Fourth Proportional to 35,642.99, 53,464.52 and 10,685.66

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Solution

The fourth proportional to 35,642.99, 53,464.52 and 10,685.66 is: 16,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.99 : 53,464.52 = 10,685.66 : x
  2. Step 2: Convert to fraction form
    35,642.99/53,464.52 = 10,685.66/x
  3. Step 3: Cross multiply
    35,642.99x = 53,464.52 × 10,685.66
  4. Step 4: Simplify right side
    35,642.99x = 571,303,629.35
  5. Step 5: Solve for x
    x = 571,303,629.35/35,642.99
  6. Step 6: Final answer
    x = 16,028.50

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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.