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Finding the Fourth Proportional to 61,969, 92,968.08 and 20,416

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Solution

The fourth proportional to 61,969, 92,968.08 and 20,416 is: 30,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,969 : 92,968.08 = 20,416 : x
  2. Step 2: Convert to fraction form
    61,969/92,968.08 = 20,416/x
  3. Step 3: Cross multiply
    61,969x = 92,968.08 × 20,416
  4. Step 4: Simplify right side
    61,969x = 1,898,036,321.28
  5. Step 5: Solve for x
    x = 1,898,036,321.28/61,969
  6. Step 6: Final answer
    x = 30,628.80

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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.