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Finding the Fourth Proportional to 77,506.77, 106,955.84 and 43,514.63

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Solution

The fourth proportional to 77,506.77, 106,955.84 and 43,514.63 is: 60,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,506.77 : 106,955.84 = 43,514.63 : x
  2. Step 2: Convert to fraction form
    77,506.77/106,955.84 = 43,514.63/x
  3. Step 3: Cross multiply
    77,506.77x = 106,955.84 × 43,514.63
  4. Step 4: Simplify right side
    77,506.77x = 4,654,144,380.66
  5. Step 5: Solve for x
    x = 4,654,144,380.66/77,506.77
  6. Step 6: Final answer
    x = 60,048.23

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1.5x scale

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.