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Finding the Fourth Proportional to 46,580.96, 64,252.32 and 27,704

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Solution

The fourth proportional to 46,580.96, 64,252.32 and 27,704 is: 38,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,580.96 : 64,252.32 = 27,704 : x
  2. Step 2: Convert to fraction form
    46,580.96/64,252.32 = 27,704/x
  3. Step 3: Cross multiply
    46,580.96x = 64,252.32 × 27,704
  4. Step 4: Simplify right side
    46,580.96x = 1,780,046,273.28
  5. Step 5: Solve for x
    x = 1,780,046,273.28/46,580.96
  6. Step 6: Final answer
    x = 38,214.03

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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.