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Finding the Fourth Proportional to 76,643.64, 114,965.25 and 24,057.06

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Solution

The fourth proportional to 76,643.64, 114,965.25 and 24,057.06 is: 36,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.64 : 114,965.25 = 24,057.06 : x
  2. Step 2: Convert to fraction form
    76,643.64/114,965.25 = 24,057.06/x
  3. Step 3: Cross multiply
    76,643.64x = 114,965.25 × 24,057.06
  4. Step 4: Simplify right side
    76,643.64x = 2,765,725,917.17
  5. Step 5: Solve for x
    x = 2,765,725,917.17/76,643.64
  6. Step 6: Final answer
    x = 36,085.52

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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.