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Finding the Fourth Proportional to 30,506.91, 45,767.54 and 9,730.41

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Solution

The fourth proportional to 30,506.91, 45,767.54 and 9,730.41 is: 14,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.91 : 45,767.54 = 9,730.41 : x
  2. Step 2: Convert to fraction form
    30,506.91/45,767.54 = 9,730.41/x
  3. Step 3: Cross multiply
    30,506.91x = 45,767.54 × 9,730.41
  4. Step 4: Simplify right side
    30,506.91x = 445,336,928.89
  5. Step 5: Solve for x
    x = 445,336,928.89/30,506.91
  6. Step 6: Final answer
    x = 14,597.90

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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.