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Finding the Fourth Proportional to 71,421.40, 107,154.74 and 42,989.49

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Solution

The fourth proportional to 71,421.40, 107,154.74 and 42,989.49 is: 64,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,421.40 : 107,154.74 = 42,989.49 : x
  2. Step 2: Convert to fraction form
    71,421.40/107,154.74 = 42,989.49/x
  3. Step 3: Cross multiply
    71,421.40x = 107,154.74 × 42,989.49
  4. Step 4: Simplify right side
    71,421.40x = 4,606,527,408.74
  5. Step 5: Solve for x
    x = 4,606,527,408.74/71,421.40
  6. Step 6: Final answer
    x = 64,497.86

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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.