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Finding the Fourth Proportional to 84,602.26, 126,907.16 and 47,133.94

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Solution

The fourth proportional to 84,602.26, 126,907.16 and 47,133.94 is: 70,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,602.26 : 126,907.16 = 47,133.94 : x
  2. Step 2: Convert to fraction form
    84,602.26/126,907.16 = 47,133.94/x
  3. Step 3: Cross multiply
    84,602.26x = 126,907.16 × 47,133.94
  4. Step 4: Simplify right side
    84,602.26x = 5,981,634,465.01
  5. Step 5: Solve for x
    x = 5,981,634,465.01/84,602.26
  6. Step 6: Final answer
    x = 70,703.01

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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.