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Finding the Fourth Proportional to 30,897.77, 42,616.28 and 20,283.53

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Solution

The fourth proportional to 30,897.77, 42,616.28 and 20,283.53 is: 27,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.77 : 42,616.28 = 20,283.53 : x
  2. Step 2: Convert to fraction form
    30,897.77/42,616.28 = 20,283.53/x
  3. Step 3: Cross multiply
    30,897.77x = 42,616.28 × 20,283.53
  4. Step 4: Simplify right side
    30,897.77x = 864,408,492.45
  5. Step 5: Solve for x
    x = 864,408,492.45/30,897.77
  6. Step 6: Final answer
    x = 27,976.40

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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.