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Finding the Fourth Proportional to 31,230.74, 46,852.38 and 11,509.40

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Solution

The fourth proportional to 31,230.74, 46,852.38 and 11,509.40 is: 17,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.74 : 46,852.38 = 11,509.40 : x
  2. Step 2: Convert to fraction form
    31,230.74/46,852.38 = 11,509.40/x
  3. Step 3: Cross multiply
    31,230.74x = 46,852.38 × 11,509.40
  4. Step 4: Simplify right side
    31,230.74x = 539,242,782.37
  5. Step 5: Solve for x
    x = 539,242,782.37/31,230.74
  6. Step 6: Final answer
    x = 17,266.41

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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.