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Finding the Fourth Proportional to 34,689.62, 52,030.22 and 9,731.67

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Solution

The fourth proportional to 34,689.62, 52,030.22 and 9,731.67 is: 14,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,689.62 : 52,030.22 = 9,731.67 : x
  2. Step 2: Convert to fraction form
    34,689.62/52,030.22 = 9,731.67/x
  3. Step 3: Cross multiply
    34,689.62x = 52,030.22 × 9,731.67
  4. Step 4: Simplify right side
    34,689.62x = 506,340,882.41
  5. Step 5: Solve for x
    x = 506,340,882.41/34,689.62
  6. Step 6: Final answer
    x = 14,596.32

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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.