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Finding the Fourth Proportional to 34,689.90, 52,019.46 and 15,965.40

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Solution

The fourth proportional to 34,689.90, 52,019.46 and 15,965.40 is: 23,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,689.90 : 52,019.46 = 15,965.40 : x
  2. Step 2: Convert to fraction form
    34,689.90/52,019.46 = 15,965.40/x
  3. Step 3: Cross multiply
    34,689.90x = 52,019.46 × 15,965.40
  4. Step 4: Simplify right side
    34,689.90x = 830,511,486.68
  5. Step 5: Solve for x
    x = 830,511,486.68/34,689.90
  6. Step 6: Final answer
    x = 23,941.02

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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.