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Finding the Fourth Proportional to 95,957.64, 132,428.16 and 53,516.16

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Solution

The fourth proportional to 95,957.64, 132,428.16 and 53,516.16 is: 73,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,957.64 : 132,428.16 = 53,516.16 : x
  2. Step 2: Convert to fraction form
    95,957.64/132,428.16 = 53,516.16/x
  3. Step 3: Cross multiply
    95,957.64x = 132,428.16 × 53,516.16
  4. Step 4: Simplify right side
    95,957.64x = 7,087,046,599.07
  5. Step 5: Solve for x
    x = 7,087,046,599.07/95,957.64
  6. Step 6: Final answer
    x = 73,855.99

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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.