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Finding the Fourth Proportional to 32,596.20, 48,897 and 10,412.73

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Solution

The fourth proportional to 32,596.20, 48,897 and 10,412.73 is: 15,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.20 : 48,897 = 10,412.73 : x
  2. Step 2: Convert to fraction form
    32,596.20/48,897 = 10,412.73/x
  3. Step 3: Cross multiply
    32,596.20x = 48,897 × 10,412.73
  4. Step 4: Simplify right side
    32,596.20x = 509,151,258.81
  5. Step 5: Solve for x
    x = 509,151,258.81/32,596.20
  6. Step 6: Final answer
    x = 15,619.96

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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.