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Finding the Fourth Proportional to 32,289.86, 48,425.38 and 12,563.72

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Solution

The fourth proportional to 32,289.86, 48,425.38 and 12,563.72 is: 18,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,289.86 : 48,425.38 = 12,563.72 : x
  2. Step 2: Convert to fraction form
    32,289.86/48,425.38 = 12,563.72/x
  3. Step 3: Cross multiply
    32,289.86x = 48,425.38 × 12,563.72
  4. Step 4: Simplify right side
    32,289.86x = 608,402,915.21
  5. Step 5: Solve for x
    x = 608,402,915.21/32,289.86
  6. Step 6: Final answer
    x = 18,841.92

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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.