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Finding the Fourth Proportional to 65,813.34, 98,638.11 and 32,051.76

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Solution

The fourth proportional to 65,813.34, 98,638.11 and 32,051.76 is: 48,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.34 : 98,638.11 = 32,051.76 : x
  2. Step 2: Convert to fraction form
    65,813.34/98,638.11 = 32,051.76/x
  3. Step 3: Cross multiply
    65,813.34x = 98,638.11 × 32,051.76
  4. Step 4: Simplify right side
    65,813.34x = 3,161,525,028.57
  5. Step 5: Solve for x
    x = 3,161,525,028.57/65,813.34
  6. Step 6: Final answer
    x = 48,037.75

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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.