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Finding the Fourth Proportional to 96,434.63, 133,079.63 and 53,993.16

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Solution

The fourth proportional to 96,434.63, 133,079.63 and 53,993.16 is: 74,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,434.63 : 133,079.63 = 53,993.16 : x
  2. Step 2: Convert to fraction form
    96,434.63/133,079.63 = 53,993.16/x
  3. Step 3: Cross multiply
    96,434.63x = 133,079.63 × 53,993.16
  4. Step 4: Simplify right side
    96,434.63x = 7,185,389,566.65
  5. Step 5: Solve for x
    x = 7,185,389,566.65/96,434.63
  6. Step 6: Final answer
    x = 74,510.47

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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.