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Finding the Fourth Proportional to 71,693.10, 98,941.68 and 43,014

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Solution

The fourth proportional to 71,693.10, 98,941.68 and 43,014 is: 59,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,693.10 : 98,941.68 = 43,014 : x
  2. Step 2: Convert to fraction form
    71,693.10/98,941.68 = 43,014/x
  3. Step 3: Cross multiply
    71,693.10x = 98,941.68 × 43,014
  4. Step 4: Simplify right side
    71,693.10x = 4,255,877,423.52
  5. Step 5: Solve for x
    x = 4,255,877,423.52/71,693.10
  6. Step 6: Final answer
    x = 59,362.44

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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.