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Finding the Fourth Proportional to 34,265.34, 51,385.05 and 13,477.50

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Solution

The fourth proportional to 34,265.34, 51,385.05 and 13,477.50 is: 20,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,265.34 : 51,385.05 = 13,477.50 : x
  2. Step 2: Convert to fraction form
    34,265.34/51,385.05 = 13,477.50/x
  3. Step 3: Cross multiply
    34,265.34x = 51,385.05 × 13,477.50
  4. Step 4: Simplify right side
    34,265.34x = 692,542,011.38
  5. Step 5: Solve for x
    x = 692,542,011.38/34,265.34
  6. Step 6: Final answer
    x = 20,211.15

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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.