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Finding the Fourth Proportional to 57,008.50, 78,671.73 and 31,858

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Solution

The fourth proportional to 57,008.50, 78,671.73 and 31,858 is: 43,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,008.50 : 78,671.73 = 31,858 : x
  2. Step 2: Convert to fraction form
    57,008.50/78,671.73 = 31,858/x
  3. Step 3: Cross multiply
    57,008.50x = 78,671.73 × 31,858
  4. Step 4: Simplify right side
    57,008.50x = 2,506,323,974.34
  5. Step 5: Solve for x
    x = 2,506,323,974.34/57,008.50
  6. Step 6: Final answer
    x = 43,964.04

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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.