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Finding the Fourth Proportional to 32,208.96, 48,307.84 and 8,831.20

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Solution

The fourth proportional to 32,208.96, 48,307.84 and 8,831.20 is: 13,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.96 : 48,307.84 = 8,831.20 : x
  2. Step 2: Convert to fraction form
    32,208.96/48,307.84 = 8,831.20/x
  3. Step 3: Cross multiply
    32,208.96x = 48,307.84 × 8,831.20
  4. Step 4: Simplify right side
    32,208.96x = 426,616,196.61
  5. Step 5: Solve for x
    x = 426,616,196.61/32,208.96
  6. Step 6: Final answer
    x = 13,245.26

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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.