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Finding the Fourth Proportional to 30,897.52, 42,615.93 and 20,283.28

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Solution

The fourth proportional to 30,897.52, 42,615.93 and 20,283.28 is: 27,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.52 : 42,615.93 = 20,283.28 : x
  2. Step 2: Convert to fraction form
    30,897.52/42,615.93 = 20,283.28/x
  3. Step 3: Cross multiply
    30,897.52x = 42,615.93 × 20,283.28
  4. Step 4: Simplify right side
    30,897.52x = 864,390,840.65
  5. Step 5: Solve for x
    x = 864,390,840.65/30,897.52
  6. Step 6: Final answer
    x = 27,976.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.