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Finding the Fourth Proportional to 31,503.19, 47,257.23 and 10,442.38

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Solution

The fourth proportional to 31,503.19, 47,257.23 and 10,442.38 is: 15,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.19 : 47,257.23 = 10,442.38 : x
  2. Step 2: Convert to fraction form
    31,503.19/47,257.23 = 10,442.38/x
  3. Step 3: Cross multiply
    31,503.19x = 47,257.23 × 10,442.38
  4. Step 4: Simplify right side
    31,503.19x = 493,477,953.41
  5. Step 5: Solve for x
    x = 493,477,953.41/31,503.19
  6. Step 6: Final answer
    x = 15,664.38

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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.