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Finding the Fourth Proportional to 46,297.68, 63,890.84 and 25,077

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Solution

The fourth proportional to 46,297.68, 63,890.84 and 25,077 is: 34,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,297.68 : 63,890.84 = 25,077 : x
  2. Step 2: Convert to fraction form
    46,297.68/63,890.84 = 25,077/x
  3. Step 3: Cross multiply
    46,297.68x = 63,890.84 × 25,077
  4. Step 4: Simplify right side
    46,297.68x = 1,602,190,594.68
  5. Step 5: Solve for x
    x = 1,602,190,594.68/46,297.68
  6. Step 6: Final answer
    x = 34,606.28

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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.