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Finding the Fourth Proportional to 10,030.56, 15,045.90 and 3,105

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Solution

The fourth proportional to 10,030.56, 15,045.90 and 3,105 is: 4,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.56 : 15,045.90 = 3,105 : x
  2. Step 2: Convert to fraction form
    10,030.56/15,045.90 = 3,105/x
  3. Step 3: Cross multiply
    10,030.56x = 15,045.90 × 3,105
  4. Step 4: Simplify right side
    10,030.56x = 46,717,519.50
  5. Step 5: Solve for x
    x = 46,717,519.50/10,030.56
  6. Step 6: Final answer
    x = 4,657.52

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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.