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Finding the Fourth Proportional to 35,982.50, 53,973.88 and 13,802.67

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Solution

The fourth proportional to 35,982.50, 53,973.88 and 13,802.67 is: 20,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982.50 : 53,973.88 = 13,802.67 : x
  2. Step 2: Convert to fraction form
    35,982.50/53,973.88 = 13,802.67/x
  3. Step 3: Cross multiply
    35,982.50x = 53,973.88 × 13,802.67
  4. Step 4: Simplify right side
    35,982.50x = 744,983,619.75
  5. Step 5: Solve for x
    x = 744,983,619.75/35,982.50
  6. Step 6: Final answer
    x = 20,704.06

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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.