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Finding the Fourth Proportional to 76,775.82, 105,914.43 and 44,925.18

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Solution

The fourth proportional to 76,775.82, 105,914.43 and 44,925.18 is: 61,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,775.82 : 105,914.43 = 44,925.18 : x
  2. Step 2: Convert to fraction form
    76,775.82/105,914.43 = 44,925.18/x
  3. Step 3: Cross multiply
    76,775.82x = 105,914.43 × 44,925.18
  4. Step 4: Simplify right side
    76,775.82x = 4,758,224,832.35
  5. Step 5: Solve for x
    x = 4,758,224,832.35/76,775.82
  6. Step 6: Final answer
    x = 61,975.57

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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.