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Finding the Fourth Proportional to 66,537, 91,821.06 and 36,729

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Solution

The fourth proportional to 66,537, 91,821.06 and 36,729 is: 50,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,537 : 91,821.06 = 36,729 : x
  2. Step 2: Convert to fraction form
    66,537/91,821.06 = 36,729/x
  3. Step 3: Cross multiply
    66,537x = 91,821.06 × 36,729
  4. Step 4: Simplify right side
    66,537x = 3,372,495,712.74
  5. Step 5: Solve for x
    x = 3,372,495,712.74/66,537
  6. Step 6: Final answer
    x = 50,686.02

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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.