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Finding the Fourth Proportional to 85,353.32, 117,795.40 and 47,119.70

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Solution

The fourth proportional to 85,353.32, 117,795.40 and 47,119.70 is: 65,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,353.32 : 117,795.40 = 47,119.70 : x
  2. Step 2: Convert to fraction form
    85,353.32/117,795.40 = 47,119.70/x
  3. Step 3: Cross multiply
    85,353.32x = 117,795.40 × 47,119.70
  4. Step 4: Simplify right side
    85,353.32x = 5,550,483,909.38
  5. Step 5: Solve for x
    x = 5,550,483,909.38/85,353.32
  6. Step 6: Final answer
    x = 65,029.50

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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.