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Finding the Fourth Proportional to 58,714, 88,083.96 and 21,778

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Solution

The fourth proportional to 58,714, 88,083.96 and 21,778 is: 32,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,714 : 88,083.96 = 21,778 : x
  2. Step 2: Convert to fraction form
    58,714/88,083.96 = 21,778/x
  3. Step 3: Cross multiply
    58,714x = 88,083.96 × 21,778
  4. Step 4: Simplify right side
    58,714x = 1,918,292,480.88
  5. Step 5: Solve for x
    x = 1,918,292,480.88/58,714
  6. Step 6: Final answer
    x = 32,671.81

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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.