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Finding the Fourth Proportional to 35,005.19, 52,284.57 and 31,668.27

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Solution

The fourth proportional to 35,005.19, 52,284.57 and 31,668.27 is: 47,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,005.19 : 52,284.57 = 31,668.27 : x
  2. Step 2: Convert to fraction form
    35,005.19/52,284.57 = 31,668.27/x
  3. Step 3: Cross multiply
    35,005.19x = 52,284.57 × 31,668.27
  4. Step 4: Simplify right side
    35,005.19x = 1,655,761,879.59
  5. Step 5: Solve for x
    x = 1,655,761,879.59/35,005.19
  6. Step 6: Final answer
    x = 47,300.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.