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Finding the Fourth Proportional to 32,837, 45,315.06 and 17,933

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Solution

The fourth proportional to 32,837, 45,315.06 and 17,933 is: 24,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,837 : 45,315.06 = 17,933 : x
  2. Step 2: Convert to fraction form
    32,837/45,315.06 = 17,933/x
  3. Step 3: Cross multiply
    32,837x = 45,315.06 × 17,933
  4. Step 4: Simplify right side
    32,837x = 812,634,970.98
  5. Step 5: Solve for x
    x = 812,634,970.98/32,837
  6. Step 6: Final answer
    x = 24,747.54

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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.