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Finding the Fourth Proportional to 38,967.66, 58,492.82 and 31,660.36

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Solution

The fourth proportional to 38,967.66, 58,492.82 and 31,660.36 is: 47,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967.66 : 58,492.82 = 31,660.36 : x
  2. Step 2: Convert to fraction form
    38,967.66/58,492.82 = 31,660.36/x
  3. Step 3: Cross multiply
    38,967.66x = 58,492.82 × 31,660.36
  4. Step 4: Simplify right side
    38,967.66x = 1,851,903,671.53
  5. Step 5: Solve for x
    x = 1,851,903,671.53/38,967.66
  6. Step 6: Final answer
    x = 47,524.12

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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.