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Finding the Fourth Proportional to 32,970.87, 45,499.64 and 17,863.43

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Solution

The fourth proportional to 32,970.87, 45,499.64 and 17,863.43 is: 24,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.87 : 45,499.64 = 17,863.43 : x
  2. Step 2: Convert to fraction form
    32,970.87/45,499.64 = 17,863.43/x
  3. Step 3: Cross multiply
    32,970.87x = 45,499.64 × 17,863.43
  4. Step 4: Simplify right side
    32,970.87x = 812,779,317.35
  5. Step 5: Solve for x
    x = 812,779,317.35/32,970.87
  6. Step 6: Final answer
    x = 24,651.44

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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.