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Finding the Fourth Proportional to 35,668.50, 53,268.52 and 28,659.16

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Solution

The fourth proportional to 35,668.50, 53,268.52 and 28,659.16 is: 42,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,668.50 : 53,268.52 = 28,659.16 : x
  2. Step 2: Convert to fraction form
    35,668.50/53,268.52 = 28,659.16/x
  3. Step 3: Cross multiply
    35,668.50x = 53,268.52 × 28,659.16
  4. Step 4: Simplify right side
    35,668.50x = 1,526,631,037.64
  5. Step 5: Solve for x
    x = 1,526,631,037.64/35,668.50
  6. Step 6: Final answer
    x = 42,800.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.