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Finding the Fourth Proportional to 66,776, 92,153.92 and 36,968

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Solution

The fourth proportional to 66,776, 92,153.92 and 36,968 is: 51,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,776 : 92,153.92 = 36,968 : x
  2. Step 2: Convert to fraction form
    66,776/92,153.92 = 36,968/x
  3. Step 3: Cross multiply
    66,776x = 92,153.92 × 36,968
  4. Step 4: Simplify right side
    66,776x = 3,406,746,114.56
  5. Step 5: Solve for x
    x = 3,406,746,114.56/66,776
  6. Step 6: Final answer
    x = 51,017.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.