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Finding the Fourth Proportional to 34,009.10, 51,013.65 and 34,009.10

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Solution

The fourth proportional to 34,009.10, 51,013.65 and 34,009.10 is: 51,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.10 : 51,013.65 = 34,009.10 : x
  2. Step 2: Convert to fraction form
    34,009.10/51,013.65 = 34,009.10/x
  3. Step 3: Cross multiply
    34,009.10x = 51,013.65 × 34,009.10
  4. Step 4: Simplify right side
    34,009.10x = 1,734,928,324.22
  5. Step 5: Solve for x
    x = 1,734,928,324.22/34,009.10
  6. Step 6: Final answer
    x = 51,013.65

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1.5x scale

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.