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Finding the Fourth Proportional to 52,564, 72,545.04 and 34,696.21

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Solution

The fourth proportional to 52,564, 72,545.04 and 34,696.21 is: 47,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,564 : 72,545.04 = 34,696.21 : x
  2. Step 2: Convert to fraction form
    52,564/72,545.04 = 34,696.21/x
  3. Step 3: Cross multiply
    52,564x = 72,545.04 × 34,696.21
  4. Step 4: Simplify right side
    52,564x = 2,517,037,942.30
  5. Step 5: Solve for x
    x = 2,517,037,942.30/52,564
  6. Step 6: Final answer
    x = 47,885.21

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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.