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Finding the Fourth Proportional to 65,012.73, 97,543.29 and 39,764.01

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Solution

The fourth proportional to 65,012.73, 97,543.29 and 39,764.01 is: 59,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,012.73 : 97,543.29 = 39,764.01 : x
  2. Step 2: Convert to fraction form
    65,012.73/97,543.29 = 39,764.01/x
  3. Step 3: Cross multiply
    65,012.73x = 97,543.29 × 39,764.01
  4. Step 4: Simplify right side
    65,012.73x = 3,878,712,358.99
  5. Step 5: Solve for x
    x = 3,878,712,358.99/65,012.73
  6. Step 6: Final answer
    x = 59,660.81

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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.