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Finding the Fourth Proportional to 32,477.26, 48,719 and 9,103.63

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Solution

The fourth proportional to 32,477.26, 48,719 and 9,103.63 is: 13,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.26 : 48,719 = 9,103.63 : x
  2. Step 2: Convert to fraction form
    32,477.26/48,719 = 9,103.63/x
  3. Step 3: Cross multiply
    32,477.26x = 48,719 × 9,103.63
  4. Step 4: Simplify right side
    32,477.26x = 443,519,749.97
  5. Step 5: Solve for x
    x = 443,519,749.97/32,477.26
  6. Step 6: Final answer
    x = 13,656.32

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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.