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Finding the Fourth Proportional to 32,837.50, 45,315.75 and 17,933.50

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Solution

The fourth proportional to 32,837.50, 45,315.75 and 17,933.50 is: 24,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,837.50 : 45,315.75 = 17,933.50 : x
  2. Step 2: Convert to fraction form
    32,837.50/45,315.75 = 17,933.50/x
  3. Step 3: Cross multiply
    32,837.50x = 45,315.75 × 17,933.50
  4. Step 4: Simplify right side
    32,837.50x = 812,670,002.63
  5. Step 5: Solve for x
    x = 812,670,002.63/32,837.50
  6. Step 6: Final answer
    x = 24,748.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.