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Finding the Fourth Proportional to 76,698.95, 105,873.44 and 44,878.10

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Solution

The fourth proportional to 76,698.95, 105,873.44 and 44,878.10 is: 61,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698.95 : 105,873.44 = 44,878.10 : x
  2. Step 2: Convert to fraction form
    76,698.95/105,873.44 = 44,878.10/x
  3. Step 3: Cross multiply
    76,698.95x = 105,873.44 × 44,878.10
  4. Step 4: Simplify right side
    76,698.95x = 4,751,398,073.91
  5. Step 5: Solve for x
    x = 4,751,398,073.91/76,698.95
  6. Step 6: Final answer
    x = 61,948.68

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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.