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Finding the Fourth Proportional to 46,470.44, 64,108.64 and 27,596.64

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Solution

The fourth proportional to 46,470.44, 64,108.64 and 27,596.64 is: 38,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,470.44 : 64,108.64 = 27,596.64 : x
  2. Step 2: Convert to fraction form
    46,470.44/64,108.64 = 27,596.64/x
  3. Step 3: Cross multiply
    46,470.44x = 64,108.64 × 27,596.64
  4. Step 4: Simplify right side
    46,470.44x = 1,769,183,058.97
  5. Step 5: Solve for x
    x = 1,769,183,058.97/46,470.44
  6. Step 6: Final answer
    x = 38,071.15

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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.