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Finding the Fourth Proportional to 30,506.63, 45,760.75 and 9,730.13

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Solution

The fourth proportional to 30,506.63, 45,760.75 and 9,730.13 is: 14,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.63 : 45,760.75 = 9,730.13 : x
  2. Step 2: Convert to fraction form
    30,506.63/45,760.75 = 9,730.13/x
  3. Step 3: Cross multiply
    30,506.63x = 45,760.75 × 9,730.13
  4. Step 4: Simplify right side
    30,506.63x = 445,257,793.27
  5. Step 5: Solve for x
    x = 445,257,793.27/30,506.63
  6. Step 6: Final answer
    x = 14,595.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.