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Finding the Fourth Proportional to 35,833.12, 53,765.16 and 13,653.16

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Solution

The fourth proportional to 35,833.12, 53,765.16 and 13,653.16 is: 20,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833.12 : 53,765.16 = 13,653.16 : x
  2. Step 2: Convert to fraction form
    35,833.12/53,765.16 = 13,653.16/x
  3. Step 3: Cross multiply
    35,833.12x = 53,765.16 × 13,653.16
  4. Step 4: Simplify right side
    35,833.12x = 734,064,331.91
  5. Step 5: Solve for x
    x = 734,064,331.91/35,833.12
  6. Step 6: Final answer
    x = 20,485.64

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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.