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Finding the Fourth Proportional to 34,530.17, 51,795.05 and 9,569.95

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Solution

The fourth proportional to 34,530.17, 51,795.05 and 9,569.95 is: 14,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,530.17 : 51,795.05 = 9,569.95 : x
  2. Step 2: Convert to fraction form
    34,530.17/51,795.05 = 9,569.95/x
  3. Step 3: Cross multiply
    34,530.17x = 51,795.05 × 9,569.95
  4. Step 4: Simplify right side
    34,530.17x = 495,675,861.41
  5. Step 5: Solve for x
    x = 495,675,861.41/34,530.17
  6. Step 6: Final answer
    x = 14,354.87

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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.