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Finding the Fourth Proportional to 66,461.16, 91,715.94 and 36,653.16

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Solution

The fourth proportional to 66,461.16, 91,715.94 and 36,653.16 is: 50,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,461.16 : 91,715.94 = 36,653.16 : x
  2. Step 2: Convert to fraction form
    66,461.16/91,715.94 = 36,653.16/x
  3. Step 3: Cross multiply
    66,461.16x = 91,715.94 × 36,653.16
  4. Step 4: Simplify right side
    66,461.16x = 3,361,679,023.37
  5. Step 5: Solve for x
    x = 3,361,679,023.37/66,461.16
  6. Step 6: Final answer
    x = 50,581.11

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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.