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Finding the Fourth Proportional to 34,689.53, 52,035.11 and 15,985.22

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Solution

The fourth proportional to 34,689.53, 52,035.11 and 15,985.22 is: 23,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,689.53 : 52,035.11 = 15,985.22 : x
  2. Step 2: Convert to fraction form
    34,689.53/52,035.11 = 15,985.22/x
  3. Step 3: Cross multiply
    34,689.53x = 52,035.11 × 15,985.22
  4. Step 4: Simplify right side
    34,689.53x = 831,792,400.92
  5. Step 5: Solve for x
    x = 831,792,400.92/34,689.53
  6. Step 6: Final answer
    x = 23,978.20

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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.