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Finding the Fourth Proportional to 46,976.48, 70,444.24 and 17,772

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Solution

The fourth proportional to 46,976.48, 70,444.24 and 17,772 is: 26,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976.48 : 70,444.24 = 17,772 : x
  2. Step 2: Convert to fraction form
    46,976.48/70,444.24 = 17,772/x
  3. Step 3: Cross multiply
    46,976.48x = 70,444.24 × 17,772
  4. Step 4: Simplify right side
    46,976.48x = 1,251,935,033.28
  5. Step 5: Solve for x
    x = 1,251,935,033.28/46,976.48
  6. Step 6: Final answer
    x = 26,650.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.