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Finding the Fourth Proportional to 45,456, 62,730.24 and 25,584

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Solution

The fourth proportional to 45,456, 62,730.24 and 25,584 is: 35,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456 : 62,730.24 = 25,584 : x
  2. Step 2: Convert to fraction form
    45,456/62,730.24 = 25,584/x
  3. Step 3: Cross multiply
    45,456x = 62,730.24 × 25,584
  4. Step 4: Simplify right side
    45,456x = 1,604,890,460.16
  5. Step 5: Solve for x
    x = 1,604,890,460.16/45,456
  6. Step 6: Final answer
    x = 35,306.46

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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.