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Finding the Fourth Proportional to 34,513.71, 51,771.72 and 9,551.67

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Solution

The fourth proportional to 34,513.71, 51,771.72 and 9,551.67 is: 14,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.71 : 51,771.72 = 9,551.67 : x
  2. Step 2: Convert to fraction form
    34,513.71/51,771.72 = 9,551.67/x
  3. Step 3: Cross multiply
    34,513.71x = 51,771.72 × 9,551.67
  4. Step 4: Simplify right side
    34,513.71x = 494,506,384.77
  5. Step 5: Solve for x
    x = 494,506,384.77/34,513.71
  6. Step 6: Final answer
    x = 14,327.82

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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.