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Finding the Fourth Proportional to 30,038.72, 45,046.88 and 10,311.68

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Solution

The fourth proportional to 30,038.72, 45,046.88 and 10,311.68 is: 15,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,038.72 : 45,046.88 = 10,311.68 : x
  2. Step 2: Convert to fraction form
    30,038.72/45,046.88 = 10,311.68/x
  3. Step 3: Cross multiply
    30,038.72x = 45,046.88 × 10,311.68
  4. Step 4: Simplify right side
    30,038.72x = 464,509,011.56
  5. Step 5: Solve for x
    x = 464,509,011.56/30,038.72
  6. Step 6: Final answer
    x = 15,463.68

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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.