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Finding the Fourth Proportional to 38,946.52, 53,746.22 and 21,041.52

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Solution

The fourth proportional to 38,946.52, 53,746.22 and 21,041.52 is: 29,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,946.52 : 53,746.22 = 21,041.52 : x
  2. Step 2: Convert to fraction form
    38,946.52/53,746.22 = 21,041.52/x
  3. Step 3: Cross multiply
    38,946.52x = 53,746.22 × 21,041.52
  4. Step 4: Simplify right side
    38,946.52x = 1,130,902,163.05
  5. Step 5: Solve for x
    x = 1,130,902,163.05/38,946.52
  6. Step 6: Final answer
    x = 29,037.31

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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.