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Finding the Fourth Proportional to 86,064.64, 129,093.45 and 29,917.48

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Solution

The fourth proportional to 86,064.64, 129,093.45 and 29,917.48 is: 44,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,064.64 : 129,093.45 = 29,917.48 : x
  2. Step 2: Convert to fraction form
    86,064.64/129,093.45 = 29,917.48/x
  3. Step 3: Cross multiply
    86,064.64x = 129,093.45 × 29,917.48
  4. Step 4: Simplify right side
    86,064.64x = 3,862,150,708.51
  5. Step 5: Solve for x
    x = 3,862,150,708.51/86,064.64
  6. Step 6: Final answer
    x = 44,875.00

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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.