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Finding the Fourth Proportional to 38,102.34, 52,583.12 and 22,994.76

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Solution

The fourth proportional to 38,102.34, 52,583.12 and 22,994.76 is: 31,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.34 : 52,583.12 = 22,994.76 : x
  2. Step 2: Convert to fraction form
    38,102.34/52,583.12 = 22,994.76/x
  3. Step 3: Cross multiply
    38,102.34x = 52,583.12 × 22,994.76
  4. Step 4: Simplify right side
    38,102.34x = 1,209,136,109.48
  5. Step 5: Solve for x
    x = 1,209,136,109.48/38,102.34
  6. Step 6: Final answer
    x = 31,733.91

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