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Finding the Fourth Proportional to 70,577.40, 105,779.70 and 31,092.60

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Solution

The fourth proportional to 70,577.40, 105,779.70 and 31,092.60 is: 46,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,577.40 : 105,779.70 = 31,092.60 : x
  2. Step 2: Convert to fraction form
    70,577.40/105,779.70 = 31,092.60/x
  3. Step 3: Cross multiply
    70,577.40x = 105,779.70 × 31,092.60
  4. Step 4: Simplify right side
    70,577.40x = 3,288,965,900.22
  5. Step 5: Solve for x
    x = 3,288,965,900.22/70,577.40
  6. Step 6: Final answer
    x = 46,600.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.