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Finding the Fourth Proportional to 32,712.66, 45,138.06 and 31,052.16

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Solution

The fourth proportional to 32,712.66, 45,138.06 and 31,052.16 is: 42,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.66 : 45,138.06 = 31,052.16 : x
  2. Step 2: Convert to fraction form
    32,712.66/45,138.06 = 31,052.16/x
  3. Step 3: Cross multiply
    32,712.66x = 45,138.06 × 31,052.16
  4. Step 4: Simplify right side
    32,712.66x = 1,401,634,261.21
  5. Step 5: Solve for x
    x = 1,401,634,261.21/32,712.66
  6. Step 6: Final answer
    x = 42,846.84

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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.