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Finding the Fourth Proportional to 31,547.25, 43,535.25 and 17,400.06

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Solution

The fourth proportional to 31,547.25, 43,535.25 and 17,400.06 is: 24,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547.25 : 43,535.25 = 17,400.06 : x
  2. Step 2: Convert to fraction form
    31,547.25/43,535.25 = 17,400.06/x
  3. Step 3: Cross multiply
    31,547.25x = 43,535.25 × 17,400.06
  4. Step 4: Simplify right side
    31,547.25x = 757,515,962.12
  5. Step 5: Solve for x
    x = 757,515,962.12/31,547.25
  6. Step 6: Final answer
    x = 24,012.11

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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.