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Finding the Fourth Proportional to 77,433.54, 116,170.32 and 24,843.48

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Solution

The fourth proportional to 77,433.54, 116,170.32 and 24,843.48 is: 37,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,433.54 : 116,170.32 = 24,843.48 : x
  2. Step 2: Convert to fraction form
    77,433.54/116,170.32 = 24,843.48/x
  3. Step 3: Cross multiply
    77,433.54x = 116,170.32 × 24,843.48
  4. Step 4: Simplify right side
    77,433.54x = 2,886,075,021.51
  5. Step 5: Solve for x
    x = 2,886,075,021.51/77,433.54
  6. Step 6: Final answer
    x = 37,271.64

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1.5x scale

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.