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Finding the Fourth Proportional to 29,806.12, 44,714.04 and 9,024.76

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Solution

The fourth proportional to 29,806.12, 44,714.04 and 9,024.76 is: 13,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.12 : 44,714.04 = 9,024.76 : x
  2. Step 2: Convert to fraction form
    29,806.12/44,714.04 = 9,024.76/x
  3. Step 3: Cross multiply
    29,806.12x = 44,714.04 × 9,024.76
  4. Step 4: Simplify right side
    29,806.12x = 403,533,479.63
  5. Step 5: Solve for x
    x = 403,533,479.63/29,806.12
  6. Step 6: Final answer
    x = 13,538.61

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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.