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Finding the Fourth Proportional to 31,058.12, 46,586.75 and 7,684.58

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Solution

The fourth proportional to 31,058.12, 46,586.75 and 7,684.58 is: 11,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,058.12 : 46,586.75 = 7,684.58 : x
  2. Step 2: Convert to fraction form
    31,058.12/46,586.75 = 7,684.58/x
  3. Step 3: Cross multiply
    31,058.12x = 46,586.75 × 7,684.58
  4. Step 4: Simplify right side
    31,058.12x = 357,999,335.96
  5. Step 5: Solve for x
    x = 357,999,335.96/31,058.12
  6. Step 6: Final answer
    x = 11,526.76

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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.