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Finding the Fourth Proportional to 30,046.57, 45,038.08 and 11,318.50

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Solution

The fourth proportional to 30,046.57, 45,038.08 and 11,318.50 is: 16,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046.57 : 45,038.08 = 11,318.50 : x
  2. Step 2: Convert to fraction form
    30,046.57/45,038.08 = 11,318.50/x
  3. Step 3: Cross multiply
    30,046.57x = 45,038.08 × 11,318.50
  4. Step 4: Simplify right side
    30,046.57x = 509,763,508.48
  5. Step 5: Solve for x
    x = 509,763,508.48/30,046.57
  6. Step 6: Final answer
    x = 16,965.78

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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.