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Finding the Fourth Proportional to 30,602.90, 45,904.35 and 8,419.70

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Solution

The fourth proportional to 30,602.90, 45,904.35 and 8,419.70 is: 12,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.90 : 45,904.35 = 8,419.70 : x
  2. Step 2: Convert to fraction form
    30,602.90/45,904.35 = 8,419.70/x
  3. Step 3: Cross multiply
    30,602.90x = 45,904.35 × 8,419.70
  4. Step 4: Simplify right side
    30,602.90x = 386,500,855.70
  5. Step 5: Solve for x
    x = 386,500,855.70/30,602.90
  6. Step 6: Final answer
    x = 12,629.55

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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.