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Finding the Fourth Proportional to 42,896.92, 64,323.44 and 17,930.16

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Solution

The fourth proportional to 42,896.92, 64,323.44 and 17,930.16 is: 26,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,896.92 : 64,323.44 = 17,930.16 : x
  2. Step 2: Convert to fraction form
    42,896.92/64,323.44 = 17,930.16/x
  3. Step 3: Cross multiply
    42,896.92x = 64,323.44 × 17,930.16
  4. Step 4: Simplify right side
    42,896.92x = 1,153,329,204.51
  5. Step 5: Solve for x
    x = 1,153,329,204.51/42,896.92
  6. Step 6: Final answer
    x = 26,886.06

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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.