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Finding the Fourth Proportional to 30,780.16, 42,474.06 and 17,354.72

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Solution

The fourth proportional to 30,780.16, 42,474.06 and 17,354.72 is: 23,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.16 : 42,474.06 = 17,354.72 : x
  2. Step 2: Convert to fraction form
    30,780.16/42,474.06 = 17,354.72/x
  3. Step 3: Cross multiply
    30,780.16x = 42,474.06 × 17,354.72
  4. Step 4: Simplify right side
    30,780.16x = 737,125,524.75
  5. Step 5: Solve for x
    x = 737,125,524.75/30,780.16
  6. Step 6: Final answer
    x = 23,948.08

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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.