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Finding the Fourth Proportional to 39,013.46, 53,838.54 and 22,021.28

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Solution

The fourth proportional to 39,013.46, 53,838.54 and 22,021.28 is: 30,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,013.46 : 53,838.54 = 22,021.28 : x
  2. Step 2: Convert to fraction form
    39,013.46/53,838.54 = 22,021.28/x
  3. Step 3: Cross multiply
    39,013.46x = 53,838.54 × 22,021.28
  4. Step 4: Simplify right side
    39,013.46x = 1,185,593,564.13
  5. Step 5: Solve for x
    x = 1,185,593,564.13/39,013.46
  6. Step 6: Final answer
    x = 30,389.35

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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.