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Finding the Fourth Proportional to 42,477.54, 63,718.74 and 12,896.34

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Solution

The fourth proportional to 42,477.54, 63,718.74 and 12,896.34 is: 19,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477.54 : 63,718.74 = 12,896.34 : x
  2. Step 2: Convert to fraction form
    42,477.54/63,718.74 = 12,896.34/x
  3. Step 3: Cross multiply
    42,477.54x = 63,718.74 × 12,896.34
  4. Step 4: Simplify right side
    42,477.54x = 821,738,535.41
  5. Step 5: Solve for x
    x = 821,738,535.41/42,477.54
  6. Step 6: Final answer
    x = 19,345.25

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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.