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Finding the Fourth Proportional to 70,316.88, 105,692.40 and 47,092.56

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Solution

The fourth proportional to 70,316.88, 105,692.40 and 47,092.56 is: 70,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,316.88 : 105,692.40 = 47,092.56 : x
  2. Step 2: Convert to fraction form
    70,316.88/105,692.40 = 47,092.56/x
  3. Step 3: Cross multiply
    70,316.88x = 105,692.40 × 47,092.56
  4. Step 4: Simplify right side
    70,316.88x = 4,977,325,688.54
  5. Step 5: Solve for x
    x = 4,977,325,688.54/70,316.88
  6. Step 6: Final answer
    x = 70,784.22

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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.