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Finding the Fourth Proportional to 66,534, 91,816.98 and 36,726

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Solution

The fourth proportional to 66,534, 91,816.98 and 36,726 is: 50,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,534 : 91,816.98 = 36,726 : x
  2. Step 2: Convert to fraction form
    66,534/91,816.98 = 36,726/x
  3. Step 3: Cross multiply
    66,534x = 91,816.98 × 36,726
  4. Step 4: Simplify right side
    66,534x = 3,372,070,407.48
  5. Step 5: Solve for x
    x = 3,372,070,407.48/66,534
  6. Step 6: Final answer
    x = 50,681.91

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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.