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Finding the Fourth Proportional to 71,307.96, 98,416.44 and 54,285

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Solution

The fourth proportional to 71,307.96, 98,416.44 and 54,285 is: 74,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,307.96 : 98,416.44 = 54,285 : x
  2. Step 2: Convert to fraction form
    71,307.96/98,416.44 = 54,285/x
  3. Step 3: Cross multiply
    71,307.96x = 98,416.44 × 54,285
  4. Step 4: Simplify right side
    71,307.96x = 5,342,536,445.40
  5. Step 5: Solve for x
    x = 5,342,536,445.40/71,307.96
  6. Step 6: Final answer
    x = 74,922.02

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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.