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Finding the Fourth Proportional to 78,492.24, 117,741.06 and 31,116.29

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Solution

The fourth proportional to 78,492.24, 117,741.06 and 31,116.29 is: 46,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492.24 : 117,741.06 = 31,116.29 : x
  2. Step 2: Convert to fraction form
    78,492.24/117,741.06 = 31,116.29/x
  3. Step 3: Cross multiply
    78,492.24x = 117,741.06 × 31,116.29
  4. Step 4: Simplify right side
    78,492.24x = 3,663,664,379.16
  5. Step 5: Solve for x
    x = 3,663,664,379.16/78,492.24
  6. Step 6: Final answer
    x = 46,675.50

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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.