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Finding the Fourth Proportional to 32,035.40, 44,210.32 and 17,697.20

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Solution

The fourth proportional to 32,035.40, 44,210.32 and 17,697.20 is: 24,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.40 : 44,210.32 = 17,697.20 : x
  2. Step 2: Convert to fraction form
    32,035.40/44,210.32 = 17,697.20/x
  3. Step 3: Cross multiply
    32,035.40x = 44,210.32 × 17,697.20
  4. Step 4: Simplify right side
    32,035.40x = 782,398,875.10
  5. Step 5: Solve for x
    x = 782,398,875.10/32,035.40
  6. Step 6: Final answer
    x = 24,422.95

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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.