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Finding the Fourth Proportional to 32,477.94, 48,719.34 and 9,103.50

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Solution

The fourth proportional to 32,477.94, 48,719.34 and 9,103.50 is: 13,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.94 : 48,719.34 = 9,103.50 : x
  2. Step 2: Convert to fraction form
    32,477.94/48,719.34 = 9,103.50/x
  3. Step 3: Cross multiply
    32,477.94x = 48,719.34 × 9,103.50
  4. Step 4: Simplify right side
    32,477.94x = 443,516,511.69
  5. Step 5: Solve for x
    x = 443,516,511.69/32,477.94
  6. Step 6: Final answer
    x = 13,655.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.