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Finding the Fourth Proportional to 29,810.21, 44,714.84 and 7,623.39

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Solution

The fourth proportional to 29,810.21, 44,714.84 and 7,623.39 is: 11,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.21 : 44,714.84 = 7,623.39 : x
  2. Step 2: Convert to fraction form
    29,810.21/44,714.84 = 7,623.39/x
  3. Step 3: Cross multiply
    29,810.21x = 44,714.84 × 7,623.39
  4. Step 4: Simplify right side
    29,810.21x = 340,878,683.17
  5. Step 5: Solve for x
    x = 340,878,683.17/29,810.21
  6. Step 6: Final answer
    x = 11,434.97

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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.