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Finding the Fourth Proportional to 30,461.10, 45,675.45 and 12,911.10

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Solution

The fourth proportional to 30,461.10, 45,675.45 and 12,911.10 is: 19,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.10 : 45,675.45 = 12,911.10 : x
  2. Step 2: Convert to fraction form
    30,461.10/45,675.45 = 12,911.10/x
  3. Step 3: Cross multiply
    30,461.10x = 45,675.45 × 12,911.10
  4. Step 4: Simplify right side
    30,461.10x = 589,720,302.50
  5. Step 5: Solve for x
    x = 589,720,302.50/30,461.10
  6. Step 6: Final answer
    x = 19,359.78

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Why These Related Problems?

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