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Finding the Fourth Proportional to 48,647.25, 72,946.98 and 19,057.14

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Solution

The fourth proportional to 48,647.25, 72,946.98 and 19,057.14 is: 28,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,647.25 : 72,946.98 = 19,057.14 : x
  2. Step 2: Convert to fraction form
    48,647.25/72,946.98 = 19,057.14/x
  3. Step 3: Cross multiply
    48,647.25x = 72,946.98 × 19,057.14
  4. Step 4: Simplify right side
    48,647.25x = 1,390,160,810.44
  5. Step 5: Solve for x
    x = 1,390,160,810.44/48,647.25
  6. Step 6: Final answer
    x = 28,576.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.