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Finding the Fourth Proportional to 53,627.70, 74,017.02 and 30,970.38

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Solution

The fourth proportional to 53,627.70, 74,017.02 and 30,970.38 is: 42,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,627.70 : 74,017.02 = 30,970.38 : x
  2. Step 2: Convert to fraction form
    53,627.70/74,017.02 = 30,970.38/x
  3. Step 3: Cross multiply
    53,627.70x = 74,017.02 × 30,970.38
  4. Step 4: Simplify right side
    53,627.70x = 2,292,335,235.87
  5. Step 5: Solve for x
    x = 2,292,335,235.87/53,627.70
  6. Step 6: Final answer
    x = 42,745.36

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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.