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Finding the Fourth Proportional to 76,676.40, 105,810.84 and 43,135.92

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Solution

The fourth proportional to 76,676.40, 105,810.84 and 43,135.92 is: 59,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.40 : 105,810.84 = 43,135.92 : x
  2. Step 2: Convert to fraction form
    76,676.40/105,810.84 = 43,135.92/x
  3. Step 3: Cross multiply
    76,676.40x = 105,810.84 × 43,135.92
  4. Step 4: Simplify right side
    76,676.40x = 4,564,247,929.37
  5. Step 5: Solve for x
    x = 4,564,247,929.37/76,676.40
  6. Step 6: Final answer
    x = 59,526.11

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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.