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Finding the Fourth Proportional to 81,886.64, 113,009.28 and 46,080.08

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Solution

The fourth proportional to 81,886.64, 113,009.28 and 46,080.08 is: 63,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,886.64 : 113,009.28 = 46,080.08 : x
  2. Step 2: Convert to fraction form
    81,886.64/113,009.28 = 46,080.08/x
  3. Step 3: Cross multiply
    81,886.64x = 113,009.28 × 46,080.08
  4. Step 4: Simplify right side
    81,886.64x = 5,207,476,663.14
  5. Step 5: Solve for x
    x = 5,207,476,663.14/81,886.64
  6. Step 6: Final answer
    x = 63,593.73

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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.