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Finding the Fourth Proportional to 32,609.45, 48,916.46 and 10,424.63

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Solution

The fourth proportional to 32,609.45, 48,916.46 and 10,424.63 is: 15,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609.45 : 48,916.46 = 10,424.63 : x
  2. Step 2: Convert to fraction form
    32,609.45/48,916.46 = 10,424.63/x
  3. Step 3: Cross multiply
    32,609.45x = 48,916.46 × 10,424.63
  4. Step 4: Simplify right side
    32,609.45x = 509,936,144.76
  5. Step 5: Solve for x
    x = 509,936,144.76/32,609.45
  6. Step 6: Final answer
    x = 15,637.68

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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.