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Finding the Fourth Proportional to 34,641.96, 47,806.98 and 19,737

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Solution

The fourth proportional to 34,641.96, 47,806.98 and 19,737 is: 27,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641.96 : 47,806.98 = 19,737 : x
  2. Step 2: Convert to fraction form
    34,641.96/47,806.98 = 19,737/x
  3. Step 3: Cross multiply
    34,641.96x = 47,806.98 × 19,737
  4. Step 4: Simplify right side
    34,641.96x = 943,566,364.26
  5. Step 5: Solve for x
    x = 943,566,364.26/34,641.96
  6. Step 6: Final answer
    x = 27,237.67

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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.