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Finding the Fourth Proportional to 60,809.32, 83,894.70 and 35,653.96

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Solution

The fourth proportional to 60,809.32, 83,894.70 and 35,653.96 is: 49,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,809.32 : 83,894.70 = 35,653.96 : x
  2. Step 2: Convert to fraction form
    60,809.32/83,894.70 = 35,653.96/x
  3. Step 3: Cross multiply
    60,809.32x = 83,894.70 × 35,653.96
  4. Step 4: Simplify right side
    60,809.32x = 2,991,178,278.01
  5. Step 5: Solve for x
    x = 2,991,178,278.01/60,809.32
  6. Step 6: Final answer
    x = 49,189.47

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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.