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Finding the Fourth Proportional to 46,637.40, 69,930.45 and 31,863

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Solution

The fourth proportional to 46,637.40, 69,930.45 and 31,863 is: 47,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,637.40 : 69,930.45 = 31,863 : x
  2. Step 2: Convert to fraction form
    46,637.40/69,930.45 = 31,863/x
  3. Step 3: Cross multiply
    46,637.40x = 69,930.45 × 31,863
  4. Step 4: Simplify right side
    46,637.40x = 2,228,193,928.35
  5. Step 5: Solve for x
    x = 2,228,193,928.35/46,637.40
  6. Step 6: Final answer
    x = 47,776.98

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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.