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Finding the Fourth Proportional to 31,547.54, 43,535.40 and 17,400.08

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Solution

The fourth proportional to 31,547.54, 43,535.40 and 17,400.08 is: 24,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547.54 : 43,535.40 = 17,400.08 : x
  2. Step 2: Convert to fraction form
    31,547.54/43,535.40 = 17,400.08/x
  3. Step 3: Cross multiply
    31,547.54x = 43,535.40 × 17,400.08
  4. Step 4: Simplify right side
    31,547.54x = 757,519,442.83
  5. Step 5: Solve for x
    x = 757,519,442.83/31,547.54
  6. Step 6: Final answer
    x = 24,012.00

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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.