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Finding the Fourth Proportional to 77,383.51, 106,808.22 and 47,185.45

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Solution

The fourth proportional to 77,383.51, 106,808.22 and 47,185.45 is: 65,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,383.51 : 106,808.22 = 47,185.45 : x
  2. Step 2: Convert to fraction form
    77,383.51/106,808.22 = 47,185.45/x
  3. Step 3: Cross multiply
    77,383.51x = 106,808.22 × 47,185.45
  4. Step 4: Simplify right side
    77,383.51x = 5,039,793,924.40
  5. Step 5: Solve for x
    x = 5,039,793,924.40/77,383.51
  6. Step 6: Final answer
    x = 65,127.49

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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.