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Finding the Fourth Proportional to 31,578.04, 43,574.62 and 17,430

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Solution

The fourth proportional to 31,578.04, 43,574.62 and 17,430 is: 24,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.04 : 43,574.62 = 17,430 : x
  2. Step 2: Convert to fraction form
    31,578.04/43,574.62 = 17,430/x
  3. Step 3: Cross multiply
    31,578.04x = 43,574.62 × 17,430
  4. Step 4: Simplify right side
    31,578.04x = 759,505,626.60
  5. Step 5: Solve for x
    x = 759,505,626.60/31,578.04
  6. Step 6: Final answer
    x = 24,051.70

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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.