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Finding the Fourth Proportional to 32,050.63, 48,080.51 and 9,865.86

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Solution

The fourth proportional to 32,050.63, 48,080.51 and 9,865.86 is: 14,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.63 : 48,080.51 = 9,865.86 : x
  2. Step 2: Convert to fraction form
    32,050.63/48,080.51 = 9,865.86/x
  3. Step 3: Cross multiply
    32,050.63x = 48,080.51 × 9,865.86
  4. Step 4: Simplify right side
    32,050.63x = 474,355,580.39
  5. Step 5: Solve for x
    x = 474,355,580.39/32,050.63
  6. Step 6: Final answer
    x = 14,800.20

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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.