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Finding the Fourth Proportional to 98,522.46, 147,804.45 and 31,957.41

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Solution

The fourth proportional to 98,522.46, 147,804.45 and 31,957.41 is: 47,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,522.46 : 147,804.45 = 31,957.41 : x
  2. Step 2: Convert to fraction form
    98,522.46/147,804.45 = 31,957.41/x
  3. Step 3: Cross multiply
    98,522.46x = 147,804.45 × 31,957.41
  4. Step 4: Simplify right side
    98,522.46x = 4,723,447,408.47
  5. Step 5: Solve for x
    x = 4,723,447,408.47/98,522.46
  6. Step 6: Final answer
    x = 47,942.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.