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Finding the Fourth Proportional to 76,735.95, 105,900.47 and 43,204.11

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Solution

The fourth proportional to 76,735.95, 105,900.47 and 43,204.11 is: 59,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,735.95 : 105,900.47 = 43,204.11 : x
  2. Step 2: Convert to fraction form
    76,735.95/105,900.47 = 43,204.11/x
  3. Step 3: Cross multiply
    76,735.95x = 105,900.47 × 43,204.11
  4. Step 4: Simplify right side
    76,735.95x = 4,575,335,554.93
  5. Step 5: Solve for x
    x = 4,575,335,554.93/76,735.95
  6. Step 6: Final answer
    x = 59,624.41

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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.