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Finding the Fourth Proportional to 66,547.44, 99,847.08 and 31,516.56

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Solution

The fourth proportional to 66,547.44, 99,847.08 and 31,516.56 is: 47,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,547.44 : 99,847.08 = 31,516.56 : x
  2. Step 2: Convert to fraction form
    66,547.44/99,847.08 = 31,516.56/x
  3. Step 3: Cross multiply
    66,547.44x = 99,847.08 × 31,516.56
  4. Step 4: Simplify right side
    66,547.44x = 3,146,836,487.64
  5. Step 5: Solve for x
    x = 3,146,836,487.64/66,547.44
  6. Step 6: Final answer
    x = 47,287.12

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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.