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Finding the Fourth Proportional to 31,184.64, 43,035.44 and 17,038.40

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Solution

The fourth proportional to 31,184.64, 43,035.44 and 17,038.40 is: 23,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184.64 : 43,035.44 = 17,038.40 : x
  2. Step 2: Convert to fraction form
    31,184.64/43,035.44 = 17,038.40/x
  3. Step 3: Cross multiply
    31,184.64x = 43,035.44 × 17,038.40
  4. Step 4: Simplify right side
    31,184.64x = 733,254,740.53
  5. Step 5: Solve for x
    x = 733,254,740.53/31,184.64
  6. Step 6: Final answer
    x = 23,513.33

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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.