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Finding the Fourth Proportional to 32,290.72, 48,416.23 and 11,225.86

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Solution

The fourth proportional to 32,290.72, 48,416.23 and 11,225.86 is: 16,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290.72 : 48,416.23 = 11,225.86 : x
  2. Step 2: Convert to fraction form
    32,290.72/48,416.23 = 11,225.86/x
  3. Step 3: Cross multiply
    32,290.72x = 48,416.23 × 11,225.86
  4. Step 4: Simplify right side
    32,290.72x = 543,513,712.70
  5. Step 5: Solve for x
    x = 543,513,712.70/32,290.72
  6. Step 6: Final answer
    x = 16,831.89

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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.