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Finding the Fourth Proportional to 46,487.52, 64,162.16 and 27,621

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Solution

The fourth proportional to 46,487.52, 64,162.16 and 27,621 is: 38,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,487.52 : 64,162.16 = 27,621 : x
  2. Step 2: Convert to fraction form
    46,487.52/64,162.16 = 27,621/x
  3. Step 3: Cross multiply
    46,487.52x = 64,162.16 × 27,621
  4. Step 4: Simplify right side
    46,487.52x = 1,772,223,021.36
  5. Step 5: Solve for x
    x = 1,772,223,021.36/46,487.52
  6. Step 6: Final answer
    x = 38,122.55

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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.