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Finding the Fourth Proportional to 30,419.82, 45,630 and 10,698.53

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Solution

The fourth proportional to 30,419.82, 45,630 and 10,698.53 is: 16,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.82 : 45,630 = 10,698.53 : x
  2. Step 2: Convert to fraction form
    30,419.82/45,630 = 10,698.53/x
  3. Step 3: Cross multiply
    30,419.82x = 45,630 × 10,698.53
  4. Step 4: Simplify right side
    30,419.82x = 488,173,695.75
  5. Step 5: Solve for x
    x = 488,173,695.75/30,419.82
  6. Step 6: Final answer
    x = 16,047.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.