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Finding the Fourth Proportional to 34,700.40, 47,895.30 and 31,157.46

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Solution

The fourth proportional to 34,700.40, 47,895.30 and 31,157.46 is: 43,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,700.40 : 47,895.30 = 31,157.46 : x
  2. Step 2: Convert to fraction form
    34,700.40/47,895.30 = 31,157.46/x
  3. Step 3: Cross multiply
    34,700.40x = 47,895.30 × 31,157.46
  4. Step 4: Simplify right side
    34,700.40x = 1,492,295,893.94
  5. Step 5: Solve for x
    x = 1,492,295,893.94/34,700.40
  6. Step 6: Final answer
    x = 43,005.15

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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.