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Finding the Fourth Proportional to 32,176.60, 48,262.53 and 10,829.45

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Solution

The fourth proportional to 32,176.60, 48,262.53 and 10,829.45 is: 16,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.60 : 48,262.53 = 10,829.45 : x
  2. Step 2: Convert to fraction form
    32,176.60/48,262.53 = 10,829.45/x
  3. Step 3: Cross multiply
    32,176.60x = 48,262.53 × 10,829.45
  4. Step 4: Simplify right side
    32,176.60x = 522,656,655.51
  5. Step 5: Solve for x
    x = 522,656,655.51/32,176.60
  6. Step 6: Final answer
    x = 16,243.38

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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.