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Finding the Fourth Proportional to 61,533.54, 92,206.35 and 31,960.98

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Solution

The fourth proportional to 61,533.54, 92,206.35 and 31,960.98 is: 47,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,533.54 : 92,206.35 = 31,960.98 : x
  2. Step 2: Convert to fraction form
    61,533.54/92,206.35 = 31,960.98/x
  3. Step 3: Cross multiply
    61,533.54x = 92,206.35 × 31,960.98
  4. Step 4: Simplify right side
    61,533.54x = 2,947,005,308.22
  5. Step 5: Solve for x
    x = 2,947,005,308.22/61,533.54
  6. Step 6: Final answer
    x = 47,892.67

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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.