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Finding the Fourth Proportional to 45,307, 62,523.66 and 25,435

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Solution

The fourth proportional to 45,307, 62,523.66 and 25,435 is: 35,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,307 : 62,523.66 = 25,435 : x
  2. Step 2: Convert to fraction form
    45,307/62,523.66 = 25,435/x
  3. Step 3: Cross multiply
    45,307x = 62,523.66 × 25,435
  4. Step 4: Simplify right side
    45,307x = 1,590,289,292.10
  5. Step 5: Solve for x
    x = 1,590,289,292.10/45,307
  6. Step 6: Final answer
    x = 35,100.30

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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.