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Finding the Fourth Proportional to 29,821.52, 44,703.11 and 12,303.92

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Solution

The fourth proportional to 29,821.52, 44,703.11 and 12,303.92 is: 18,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.52 : 44,703.11 = 12,303.92 : x
  2. Step 2: Convert to fraction form
    29,821.52/44,703.11 = 12,303.92/x
  3. Step 3: Cross multiply
    29,821.52x = 44,703.11 × 12,303.92
  4. Step 4: Simplify right side
    29,821.52x = 550,023,204.16
  5. Step 5: Solve for x
    x = 550,023,204.16/29,821.52
  6. Step 6: Final answer
    x = 18,443.84

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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.