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Finding the Fourth Proportional to 30,798.64, 42,502 and 16,651.48

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Solution

The fourth proportional to 30,798.64, 42,502 and 16,651.48 is: 22,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798.64 : 42,502 = 16,651.48 : x
  2. Step 2: Convert to fraction form
    30,798.64/42,502 = 16,651.48/x
  3. Step 3: Cross multiply
    30,798.64x = 42,502 × 16,651.48
  4. Step 4: Simplify right side
    30,798.64x = 707,721,202.96
  5. Step 5: Solve for x
    x = 707,721,202.96/30,798.64
  6. Step 6: Final answer
    x = 22,978.98

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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.