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Finding the Fourth Proportional to 76,886.70, 106,111.26 and 46,669.68

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Solution

The fourth proportional to 76,886.70, 106,111.26 and 46,669.68 is: 64,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,886.70 : 106,111.26 = 46,669.68 : x
  2. Step 2: Convert to fraction form
    76,886.70/106,111.26 = 46,669.68/x
  3. Step 3: Cross multiply
    76,886.70x = 106,111.26 × 46,669.68
  4. Step 4: Simplify right side
    76,886.70x = 4,952,178,548.60
  5. Step 5: Solve for x
    x = 4,952,178,548.60/76,886.70
  6. Step 6: Final answer
    x = 64,408.78

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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.