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Finding the Fourth Proportional to 46,580.28, 64,270.82 and 27,713.72

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Solution

The fourth proportional to 46,580.28, 64,270.82 and 27,713.72 is: 38,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,580.28 : 64,270.82 = 27,713.72 : x
  2. Step 2: Convert to fraction form
    46,580.28/64,270.82 = 27,713.72/x
  3. Step 3: Cross multiply
    46,580.28x = 64,270.82 × 27,713.72
  4. Step 4: Simplify right side
    46,580.28x = 1,781,183,509.65
  5. Step 5: Solve for x
    x = 1,781,183,509.65/46,580.28
  6. Step 6: Final answer
    x = 38,239.00

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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.