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Finding the Fourth Proportional to 30,376.50, 45,568 and 12,848.10

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Solution

The fourth proportional to 30,376.50, 45,568 and 12,848.10 is: 19,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,376.50 : 45,568 = 12,848.10 : x
  2. Step 2: Convert to fraction form
    30,376.50/45,568 = 12,848.10/x
  3. Step 3: Cross multiply
    30,376.50x = 45,568 × 12,848.10
  4. Step 4: Simplify right side
    30,376.50x = 585,462,220.80
  5. Step 5: Solve for x
    x = 585,462,220.80/30,376.50
  6. Step 6: Final answer
    x = 19,273.52

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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.