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Finding the Fourth Proportional to 55,984, 83,976 and 19,048

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Solution

The fourth proportional to 55,984, 83,976 and 19,048 is: 28,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,984 : 83,976 = 19,048 : x
  2. Step 2: Convert to fraction form
    55,984/83,976 = 19,048/x
  3. Step 3: Cross multiply
    55,984x = 83,976 × 19,048
  4. Step 4: Simplify right side
    55,984x = 1,599,574,848
  5. Step 5: Solve for x
    x = 1,599,574,848/55,984
  6. Step 6: Final answer
    x = 28,572

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