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Finding the Fourth Proportional to 32,403.86, 48,606.02 and 10,219.02

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Solution

The fourth proportional to 32,403.86, 48,606.02 and 10,219.02 is: 15,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.86 : 48,606.02 = 10,219.02 : x
  2. Step 2: Convert to fraction form
    32,403.86/48,606.02 = 10,219.02/x
  3. Step 3: Cross multiply
    32,403.86x = 48,606.02 × 10,219.02
  4. Step 4: Simplify right side
    32,403.86x = 496,705,890.50
  5. Step 5: Solve for x
    x = 496,705,890.50/32,403.86
  6. Step 6: Final answer
    x = 15,328.60

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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.