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Finding the Fourth Proportional to 76,356.30, 114,534.45 and 41,364.30

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Solution

The fourth proportional to 76,356.30, 114,534.45 and 41,364.30 is: 62,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356.30 : 114,534.45 = 41,364.30 : x
  2. Step 2: Convert to fraction form
    76,356.30/114,534.45 = 41,364.30/x
  3. Step 3: Cross multiply
    76,356.30x = 114,534.45 × 41,364.30
  4. Step 4: Simplify right side
    76,356.30x = 4,737,637,350.14
  5. Step 5: Solve for x
    x = 4,737,637,350.14/76,356.30
  6. Step 6: Final answer
    x = 62,046.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.