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Finding the Fourth Proportional to 32,597.59, 48,927.92 and 15,742.41

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Solution

The fourth proportional to 32,597.59, 48,927.92 and 15,742.41 is: 23,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.59 : 48,927.92 = 15,742.41 : x
  2. Step 2: Convert to fraction form
    32,597.59/48,927.92 = 15,742.41/x
  3. Step 3: Cross multiply
    32,597.59x = 48,927.92 × 15,742.41
  4. Step 4: Simplify right side
    32,597.59x = 770,243,298.38
  5. Step 5: Solve for x
    x = 770,243,298.38/32,597.59
  6. Step 6: Final answer
    x = 23,628.84

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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.