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Finding the Fourth Proportional to 46,848, 64,652.16 and 26,976

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Solution

The fourth proportional to 46,848, 64,652.16 and 26,976 is: 37,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,848 : 64,652.16 = 26,976 : x
  2. Step 2: Convert to fraction form
    46,848/64,652.16 = 26,976/x
  3. Step 3: Cross multiply
    46,848x = 64,652.16 × 26,976
  4. Step 4: Simplify right side
    46,848x = 1,744,056,668.16
  5. Step 5: Solve for x
    x = 1,744,056,668.16/46,848
  6. Step 6: Final answer
    x = 37,227.99

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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.