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Finding the Fourth Proportional to 30,562.80, 42,176.64 and 17,134.06

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Solution

The fourth proportional to 30,562.80, 42,176.64 and 17,134.06 is: 23,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,562.80 : 42,176.64 = 17,134.06 : x
  2. Step 2: Convert to fraction form
    30,562.80/42,176.64 = 17,134.06/x
  3. Step 3: Cross multiply
    30,562.80x = 42,176.64 × 17,134.06
  4. Step 4: Simplify right side
    30,562.80x = 722,657,133.08
  5. Step 5: Solve for x
    x = 722,657,133.08/30,562.80
  6. Step 6: Final answer
    x = 23,644.99

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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.