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Finding the Fourth Proportional to 10,045.10, 15,069.80 and 3,024.52

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Solution

The fourth proportional to 10,045.10, 15,069.80 and 3,024.52 is: 4,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.10 : 15,069.80 = 3,024.52 : x
  2. Step 2: Convert to fraction form
    10,045.10/15,069.80 = 3,024.52/x
  3. Step 3: Cross multiply
    10,045.10x = 15,069.80 × 3,024.52
  4. Step 4: Simplify right side
    10,045.10x = 45,578,911.50
  5. Step 5: Solve for x
    x = 45,578,911.50/10,045.10
  6. Step 6: Final answer
    x = 4,537.43

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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.