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Finding the Fourth Proportional to 30,657.14, 42,307.85 and 17,230.98

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Solution

The fourth proportional to 30,657.14, 42,307.85 and 17,230.98 is: 23,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.14 : 42,307.85 = 17,230.98 : x
  2. Step 2: Convert to fraction form
    30,657.14/42,307.85 = 17,230.98/x
  3. Step 3: Cross multiply
    30,657.14x = 42,307.85 × 17,230.98
  4. Step 4: Simplify right side
    30,657.14x = 729,005,717.19
  5. Step 5: Solve for x
    x = 729,005,717.19/30,657.14
  6. Step 6: Final answer
    x = 23,779.31

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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.