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Finding the Fourth Proportional to 66,768, 92,139.84 and 36,960

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Solution

The fourth proportional to 66,768, 92,139.84 and 36,960 is: 51,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,768 : 92,139.84 = 36,960 : x
  2. Step 2: Convert to fraction form
    66,768/92,139.84 = 36,960/x
  3. Step 3: Cross multiply
    66,768x = 92,139.84 × 36,960
  4. Step 4: Simplify right side
    66,768x = 3,405,488,486.40
  5. Step 5: Solve for x
    x = 3,405,488,486.40/66,768
  6. Step 6: Final answer
    x = 51,004.80

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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.