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Finding the Fourth Proportional to 32,668.56, 48,996 and 9,288.72

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Solution

The fourth proportional to 32,668.56, 48,996 and 9,288.72 is: 13,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,668.56 : 48,996 = 9,288.72 : x
  2. Step 2: Convert to fraction form
    32,668.56/48,996 = 9,288.72/x
  3. Step 3: Cross multiply
    32,668.56x = 48,996 × 9,288.72
  4. Step 4: Simplify right side
    32,668.56x = 455,110,125.12
  5. Step 5: Solve for x
    x = 455,110,125.12/32,668.56
  6. Step 6: Final answer
    x = 13,931.14

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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.