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Finding the Fourth Proportional to 66,585.96, 99,758.56 and 41,614

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Solution

The fourth proportional to 66,585.96, 99,758.56 and 41,614 is: 62,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,585.96 : 99,758.56 = 41,614 : x
  2. Step 2: Convert to fraction form
    66,585.96/99,758.56 = 41,614/x
  3. Step 3: Cross multiply
    66,585.96x = 99,758.56 × 41,614
  4. Step 4: Simplify right side
    66,585.96x = 4,151,352,715.84
  5. Step 5: Solve for x
    x = 4,151,352,715.84/66,585.96
  6. Step 6: Final answer
    x = 62,345.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.