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Finding the Fourth Proportional to 85,533.54, 118,031.50 and 47,290.86

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Solution

The fourth proportional to 85,533.54, 118,031.50 and 47,290.86 is: 65,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,533.54 : 118,031.50 = 47,290.86 : x
  2. Step 2: Convert to fraction form
    85,533.54/118,031.50 = 47,290.86/x
  3. Step 3: Cross multiply
    85,533.54x = 118,031.50 × 47,290.86
  4. Step 4: Simplify right side
    85,533.54x = 5,581,811,142.09
  5. Step 5: Solve for x
    x = 5,581,811,142.09/85,533.54
  6. Step 6: Final answer
    x = 65,258.74

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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.