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Finding the Fourth Proportional to 76,486.32, 105,494.94 and 44,653.32

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Solution

The fourth proportional to 76,486.32, 105,494.94 and 44,653.32 is: 61,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.32 : 105,494.94 = 44,653.32 : x
  2. Step 2: Convert to fraction form
    76,486.32/105,494.94 = 44,653.32/x
  3. Step 3: Cross multiply
    76,486.32x = 105,494.94 × 44,653.32
  4. Step 4: Simplify right side
    76,486.32x = 4,710,699,314.20
  5. Step 5: Solve for x
    x = 4,710,699,314.20/76,486.32
  6. Step 6: Final answer
    x = 61,588.78

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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.