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Finding the Fourth Proportional to 31,483.60, 47,225.32 and 11,763.70

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Solution

The fourth proportional to 31,483.60, 47,225.32 and 11,763.70 is: 17,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.60 : 47,225.32 = 11,763.70 : x
  2. Step 2: Convert to fraction form
    31,483.60/47,225.32 = 11,763.70/x
  3. Step 3: Cross multiply
    31,483.60x = 47,225.32 × 11,763.70
  4. Step 4: Simplify right side
    31,483.60x = 555,544,496.88
  5. Step 5: Solve for x
    x = 555,544,496.88/31,483.60
  6. Step 6: Final answer
    x = 17,645.52

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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.