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Finding the Fourth Proportional to 31,506.96, 43,477.91 and 19,570.10

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Solution

The fourth proportional to 31,506.96, 43,477.91 and 19,570.10 is: 27,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.96 : 43,477.91 = 19,570.10 : x
  2. Step 2: Convert to fraction form
    31,506.96/43,477.91 = 19,570.10/x
  3. Step 3: Cross multiply
    31,506.96x = 43,477.91 × 19,570.10
  4. Step 4: Simplify right side
    31,506.96x = 850,866,731.25
  5. Step 5: Solve for x
    x = 850,866,731.25/31,506.96
  6. Step 6: Final answer
    x = 27,005.68

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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.