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Finding the Fourth Proportional to 46,996, 64,862.16 and 27,135.52

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Solution

The fourth proportional to 46,996, 64,862.16 and 27,135.52 is: 37,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,996 : 64,862.16 = 27,135.52 : x
  2. Step 2: Convert to fraction form
    46,996/64,862.16 = 27,135.52/x
  3. Step 3: Cross multiply
    46,996x = 64,862.16 × 27,135.52
  4. Step 4: Simplify right side
    46,996x = 1,760,068,439.92
  5. Step 5: Solve for x
    x = 1,760,068,439.92/46,996
  6. Step 6: Final answer
    x = 37,451.45

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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.