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Finding the Fourth Proportional to 30,524.12, 45,787.80 and 9,746

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Solution

The fourth proportional to 30,524.12, 45,787.80 and 9,746 is: 14,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.12 : 45,787.80 = 9,746 : x
  2. Step 2: Convert to fraction form
    30,524.12/45,787.80 = 9,746/x
  3. Step 3: Cross multiply
    30,524.12x = 45,787.80 × 9,746
  4. Step 4: Simplify right side
    30,524.12x = 446,247,898.80
  5. Step 5: Solve for x
    x = 446,247,898.80/30,524.12
  6. Step 6: Final answer
    x = 14,619.52

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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.