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Finding the Fourth Proportional to 32,676.47, 49,021.06 and 10,488.14

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Solution

The fourth proportional to 32,676.47, 49,021.06 and 10,488.14 is: 15,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.47 : 49,021.06 = 10,488.14 : x
  2. Step 2: Convert to fraction form
    32,676.47/49,021.06 = 10,488.14/x
  3. Step 3: Cross multiply
    32,676.47x = 49,021.06 × 10,488.14
  4. Step 4: Simplify right side
    32,676.47x = 514,139,740.23
  5. Step 5: Solve for x
    x = 514,139,740.23/32,676.47
  6. Step 6: Final answer
    x = 15,734.25

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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.