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Finding the Fourth Proportional to 31,106.90, 46,662.63 and 13,320.21

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Solution

The fourth proportional to 31,106.90, 46,662.63 and 13,320.21 is: 19,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.90 : 46,662.63 = 13,320.21 : x
  2. Step 2: Convert to fraction form
    31,106.90/46,662.63 = 13,320.21/x
  3. Step 3: Cross multiply
    31,106.90x = 46,662.63 × 13,320.21
  4. Step 4: Simplify right side
    31,106.90x = 621,556,030.75
  5. Step 5: Solve for x
    x = 621,556,030.75/31,106.90
  6. Step 6: Final answer
    x = 19,981.29

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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.