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Finding the Fourth Proportional to 96,643.78, 133,368.16 and 54,203.23

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Solution

The fourth proportional to 96,643.78, 133,368.16 and 54,203.23 is: 74,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643.78 : 133,368.16 = 54,203.23 : x
  2. Step 2: Convert to fraction form
    96,643.78/133,368.16 = 54,203.23/x
  3. Step 3: Cross multiply
    96,643.78x = 133,368.16 × 54,203.23
  4. Step 4: Simplify right side
    96,643.78x = 7,228,985,051.16
  5. Step 5: Solve for x
    x = 7,228,985,051.16/96,643.78
  6. Step 6: Final answer
    x = 74,800.31

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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.