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Finding the Fourth Proportional to 72,035.69, 99,409.37 and 40,204.58

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Solution

The fourth proportional to 72,035.69, 99,409.37 and 40,204.58 is: 55,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,035.69 : 99,409.37 = 40,204.58 : x
  2. Step 2: Convert to fraction form
    72,035.69/99,409.37 = 40,204.58/x
  3. Step 3: Cross multiply
    72,035.69x = 99,409.37 × 40,204.58
  4. Step 4: Simplify right side
    72,035.69x = 3,996,711,270.84
  5. Step 5: Solve for x
    x = 3,996,711,270.84/72,035.69
  6. Step 6: Final answer
    x = 55,482.38

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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.