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Finding the Fourth Proportional to 76,648.17, 105,774.39 and 43,114.17

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Solution

The fourth proportional to 76,648.17, 105,774.39 and 43,114.17 is: 59,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648.17 : 105,774.39 = 43,114.17 : x
  2. Step 2: Convert to fraction form
    76,648.17/105,774.39 = 43,114.17/x
  3. Step 3: Cross multiply
    76,648.17x = 105,774.39 × 43,114.17
  4. Step 4: Simplify right side
    76,648.17x = 4,560,375,032.11
  5. Step 5: Solve for x
    x = 4,560,375,032.11/76,648.17
  6. Step 6: Final answer
    x = 59,497.51

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1.5x scale

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.