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Finding the Fourth Proportional to 30,562, 42,158.28 and 17,813.68

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Solution

The fourth proportional to 30,562, 42,158.28 and 17,813.68 is: 24,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,562 : 42,158.28 = 17,813.68 : x
  2. Step 2: Convert to fraction form
    30,562/42,158.28 = 17,813.68/x
  3. Step 3: Cross multiply
    30,562x = 42,158.28 × 17,813.68
  4. Step 4: Simplify right side
    30,562x = 750,994,109.27
  5. Step 5: Solve for x
    x = 750,994,109.27/30,562
  6. Step 6: Final answer
    x = 24,572.81

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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.