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Finding the Fourth Proportional to 34,547.49, 47,675.74 and 19,440.41

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Solution

The fourth proportional to 34,547.49, 47,675.74 and 19,440.41 is: 26,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,547.49 : 47,675.74 = 19,440.41 : x
  2. Step 2: Convert to fraction form
    34,547.49/47,675.74 = 19,440.41/x
  3. Step 3: Cross multiply
    34,547.49x = 47,675.74 × 19,440.41
  4. Step 4: Simplify right side
    34,547.49x = 926,835,694.27
  5. Step 5: Solve for x
    x = 926,835,694.27/34,547.49
  6. Step 6: Final answer
    x = 26,827.87

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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.