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Finding the Fourth Proportional to 76,416.80, 105,431.49 and 44,563.14

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Solution

The fourth proportional to 76,416.80, 105,431.49 and 44,563.14 is: 61,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,416.80 : 105,431.49 = 44,563.14 : x
  2. Step 2: Convert to fraction form
    76,416.80/105,431.49 = 44,563.14/x
  3. Step 3: Cross multiply
    76,416.80x = 105,431.49 × 44,563.14
  4. Step 4: Simplify right side
    76,416.80x = 4,698,358,249.28
  5. Step 5: Solve for x
    x = 4,698,358,249.28/76,416.80
  6. Step 6: Final answer
    x = 61,483.32

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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.