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Finding the Fourth Proportional to 70,419.30, 105,638.12 and 37,140.58

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Solution

The fourth proportional to 70,419.30, 105,638.12 and 37,140.58 is: 55,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,419.30 : 105,638.12 = 37,140.58 : x
  2. Step 2: Convert to fraction form
    70,419.30/105,638.12 = 37,140.58/x
  3. Step 3: Cross multiply
    70,419.30x = 105,638.12 × 37,140.58
  4. Step 4: Simplify right side
    70,419.30x = 3,923,461,046.91
  5. Step 5: Solve for x
    x = 3,923,461,046.91/70,419.30
  6. Step 6: Final answer
    x = 55,715.71

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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.