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Finding the Fourth Proportional to 34,475.52, 47,538.99 and 31,457.46

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Solution

The fourth proportional to 34,475.52, 47,538.99 and 31,457.46 is: 43,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,475.52 : 47,538.99 = 31,457.46 : x
  2. Step 2: Convert to fraction form
    34,475.52/47,538.99 = 31,457.46/x
  3. Step 3: Cross multiply
    34,475.52x = 47,538.99 × 31,457.46
  4. Step 4: Simplify right side
    34,475.52x = 1,495,455,876.37
  5. Step 5: Solve for x
    x = 1,495,455,876.37/34,475.52
  6. Step 6: Final answer
    x = 43,377.33

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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.