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Finding the Fourth Proportional to 32,114.16, 44,317.62 and 17,774.98

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Solution

The fourth proportional to 32,114.16, 44,317.62 and 17,774.98 is: 24,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.16 : 44,317.62 = 17,774.98 : x
  2. Step 2: Convert to fraction form
    32,114.16/44,317.62 = 17,774.98/x
  3. Step 3: Cross multiply
    32,114.16x = 44,317.62 × 17,774.98
  4. Step 4: Simplify right side
    32,114.16x = 787,744,698.35
  5. Step 5: Solve for x
    x = 787,744,698.35/32,114.16
  6. Step 6: Final answer
    x = 24,529.51

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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.