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Finding the Fourth Proportional to 30,419.07, 45,630.99 and 10,702.05

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Solution

The fourth proportional to 30,419.07, 45,630.99 and 10,702.05 is: 16,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.07 : 45,630.99 = 10,702.05 : x
  2. Step 2: Convert to fraction form
    30,419.07/45,630.99 = 10,702.05/x
  3. Step 3: Cross multiply
    30,419.07x = 45,630.99 × 10,702.05
  4. Step 4: Simplify right side
    30,419.07x = 488,345,136.53
  5. Step 5: Solve for x
    x = 488,345,136.53/30,419.07
  6. Step 6: Final answer
    x = 16,053.91

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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.