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Finding the Fourth Proportional to 46,509.12, 64,188.72 and 27,656.64

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Solution

The fourth proportional to 46,509.12, 64,188.72 and 27,656.64 is: 38,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.12 : 64,188.72 = 27,656.64 : x
  2. Step 2: Convert to fraction form
    46,509.12/64,188.72 = 27,656.64/x
  3. Step 3: Cross multiply
    46,509.12x = 64,188.72 × 27,656.64
  4. Step 4: Simplify right side
    46,509.12x = 1,775,244,321.10
  5. Step 5: Solve for x
    x = 1,775,244,321.10/46,509.12
  6. Step 6: Final answer
    x = 38,169.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.