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Finding the Fourth Proportional to 76,097.92, 105,024 and 44,268.16

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Solution

The fourth proportional to 76,097.92, 105,024 and 44,268.16 is: 61,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,097.92 : 105,024 = 44,268.16 : x
  2. Step 2: Convert to fraction form
    76,097.92/105,024 = 44,268.16/x
  3. Step 3: Cross multiply
    76,097.92x = 105,024 × 44,268.16
  4. Step 4: Simplify right side
    76,097.92x = 4,649,219,235.84
  5. Step 5: Solve for x
    x = 4,649,219,235.84/76,097.92
  6. Step 6: Final answer
    x = 61,095.22

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Why These Related Problems?

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