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Finding the Fourth Proportional to 52,689.88, 72,689.95 and 34,544.96

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Solution

The fourth proportional to 52,689.88, 72,689.95 and 34,544.96 is: 47,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,689.88 : 72,689.95 = 34,544.96 : x
  2. Step 2: Convert to fraction form
    52,689.88/72,689.95 = 34,544.96/x
  3. Step 3: Cross multiply
    52,689.88x = 72,689.95 × 34,544.96
  4. Step 4: Simplify right side
    52,689.88x = 2,511,071,415.15
  5. Step 5: Solve for x
    x = 2,511,071,415.15/52,689.88
  6. Step 6: Final answer
    x = 47,657.57

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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.