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Finding the Fourth Proportional to 76,734.78, 105,890.49 and 42,741.42

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Solution

The fourth proportional to 76,734.78, 105,890.49 and 42,741.42 is: 58,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,734.78 : 105,890.49 = 42,741.42 : x
  2. Step 2: Convert to fraction form
    76,734.78/105,890.49 = 42,741.42/x
  3. Step 3: Cross multiply
    76,734.78x = 105,890.49 × 42,741.42
  4. Step 4: Simplify right side
    76,734.78x = 4,525,909,907.10
  5. Step 5: Solve for x
    x = 4,525,909,907.10/76,734.78
  6. Step 6: Final answer
    x = 58,981.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.