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Finding the Fourth Proportional to 65,698.50, 90,663.92 and 35,483.82

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Solution

The fourth proportional to 65,698.50, 90,663.92 and 35,483.82 is: 48,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698.50 : 90,663.92 = 35,483.82 : x
  2. Step 2: Convert to fraction form
    65,698.50/90,663.92 = 35,483.82/x
  3. Step 3: Cross multiply
    65,698.50x = 90,663.92 × 35,483.82
  4. Step 4: Simplify right side
    65,698.50x = 3,217,102,217.77
  5. Step 5: Solve for x
    x = 3,217,102,217.77/65,698.50
  6. Step 6: Final answer
    x = 48,967.67

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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.