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Finding the Fourth Proportional to 76,097.16, 105,056.31 and 45,890.13

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Solution

The fourth proportional to 76,097.16, 105,056.31 and 45,890.13 is: 63,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,097.16 : 105,056.31 = 45,890.13 : x
  2. Step 2: Convert to fraction form
    76,097.16/105,056.31 = 45,890.13/x
  3. Step 3: Cross multiply
    76,097.16x = 105,056.31 × 45,890.13
  4. Step 4: Simplify right side
    76,097.16x = 4,821,047,723.22
  5. Step 5: Solve for x
    x = 4,821,047,723.22/76,097.16
  6. Step 6: Final answer
    x = 63,353.85

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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.