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Finding the Fourth Proportional to 76,065.08, 105,055.95 and 51,823.97

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Solution

The fourth proportional to 76,065.08, 105,055.95 and 51,823.97 is: 71,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,065.08 : 105,055.95 = 51,823.97 : x
  2. Step 2: Convert to fraction form
    76,065.08/105,055.95 = 51,823.97/x
  3. Step 3: Cross multiply
    76,065.08x = 105,055.95 × 51,823.97
  4. Step 4: Simplify right side
    76,065.08x = 5,444,416,464.14
  5. Step 5: Solve for x
    x = 5,444,416,464.14/76,065.08
  6. Step 6: Final answer
    x = 71,575.77

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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.