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Finding the Fourth Proportional to 72,433, 99,957.90 and 42,239.26

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Solution

The fourth proportional to 72,433, 99,957.90 and 42,239.26 is: 58,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,433 : 99,957.90 = 42,239.26 : x
  2. Step 2: Convert to fraction form
    72,433/99,957.90 = 42,239.26/x
  3. Step 3: Cross multiply
    72,433x = 99,957.90 × 42,239.26
  4. Step 4: Simplify right side
    72,433x = 4,222,147,727.15
  5. Step 5: Solve for x
    x = 4,222,147,727.15/72,433
  6. Step 6: Final answer
    x = 58,290.39

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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.