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Finding the Fourth Proportional to 30,106.50, 41,495.13 and 28,300.74

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Solution

The fourth proportional to 30,106.50, 41,495.13 and 28,300.74 is: 39,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.50 : 41,495.13 = 28,300.74 : x
  2. Step 2: Convert to fraction form
    30,106.50/41,495.13 = 28,300.74/x
  3. Step 3: Cross multiply
    30,106.50x = 41,495.13 × 28,300.74
  4. Step 4: Simplify right side
    30,106.50x = 1,174,342,885.40
  5. Step 5: Solve for x
    x = 1,174,342,885.40/30,106.50
  6. Step 6: Final answer
    x = 39,006.29

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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.