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Finding the Fourth Proportional to 76,420.17, 105,454.53 and 42,425.94

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Solution

The fourth proportional to 76,420.17, 105,454.53 and 42,425.94 is: 58,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,420.17 : 105,454.53 = 42,425.94 : x
  2. Step 2: Convert to fraction form
    76,420.17/105,454.53 = 42,425.94/x
  3. Step 3: Cross multiply
    76,420.17x = 105,454.53 × 42,425.94
  4. Step 4: Simplify right side
    76,420.17x = 4,474,007,562.51
  5. Step 5: Solve for x
    x = 4,474,007,562.51/76,420.17
  6. Step 6: Final answer
    x = 58,544.85

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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.