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Finding the Fourth Proportional to 38,840.48, 58,254.24 and 11,132

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Solution

The fourth proportional to 38,840.48, 58,254.24 and 11,132 is: 16,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,840.48 : 58,254.24 = 11,132 : x
  2. Step 2: Convert to fraction form
    38,840.48/58,254.24 = 11,132/x
  3. Step 3: Cross multiply
    38,840.48x = 58,254.24 × 11,132
  4. Step 4: Simplify right side
    38,840.48x = 648,486,199.68
  5. Step 5: Solve for x
    x = 648,486,199.68/38,840.48
  6. Step 6: Final answer
    x = 16,696.14

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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.