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Finding the Fourth Proportional to 78,586.96, 117,837.36 and 31,154

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Solution

The fourth proportional to 78,586.96, 117,837.36 and 31,154 is: 46,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,586.96 : 117,837.36 = 31,154 : x
  2. Step 2: Convert to fraction form
    78,586.96/117,837.36 = 31,154/x
  3. Step 3: Cross multiply
    78,586.96x = 117,837.36 × 31,154
  4. Step 4: Simplify right side
    78,586.96x = 3,671,105,113.44
  5. Step 5: Solve for x
    x = 3,671,105,113.44/78,586.96
  6. Step 6: Final answer
    x = 46,713.92

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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.