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Finding the Fourth Proportional to 73,185.16, 109,952.88 and 46,941.16

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Solution

The fourth proportional to 73,185.16, 109,952.88 and 46,941.16 is: 70,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,185.16 : 109,952.88 = 46,941.16 : x
  2. Step 2: Convert to fraction form
    73,185.16/109,952.88 = 46,941.16/x
  3. Step 3: Cross multiply
    73,185.16x = 109,952.88 × 46,941.16
  4. Step 4: Simplify right side
    73,185.16x = 5,161,315,732.54
  5. Step 5: Solve for x
    x = 5,161,315,732.54/73,185.16
  6. Step 6: Final answer
    x = 70,524.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.