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Finding the Fourth Proportional to 76,196.80, 105,202.96 and 47,560.08

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Solution

The fourth proportional to 76,196.80, 105,202.96 and 47,560.08 is: 65,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,196.80 : 105,202.96 = 47,560.08 : x
  2. Step 2: Convert to fraction form
    76,196.80/105,202.96 = 47,560.08/x
  3. Step 3: Cross multiply
    76,196.80x = 105,202.96 × 47,560.08
  4. Step 4: Simplify right side
    76,196.80x = 5,003,461,074.94
  5. Step 5: Solve for x
    x = 5,003,461,074.94/76,196.80
  6. Step 6: Final answer
    x = 65,664.98

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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.