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Finding the Fourth Proportional to 44,714, 61,705.32 and 24,842

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Solution

The fourth proportional to 44,714, 61,705.32 and 24,842 is: 34,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,714 : 61,705.32 = 24,842 : x
  2. Step 2: Convert to fraction form
    44,714/61,705.32 = 24,842/x
  3. Step 3: Cross multiply
    44,714x = 61,705.32 × 24,842
  4. Step 4: Simplify right side
    44,714x = 1,532,883,559.44
  5. Step 5: Solve for x
    x = 1,532,883,559.44/44,714
  6. Step 6: Final answer
    x = 34,281.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.