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Finding the Fourth Proportional to 32,820.60, 49,239 and 9,448.86

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Solution

The fourth proportional to 32,820.60, 49,239 and 9,448.86 is: 14,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.60 : 49,239 = 9,448.86 : x
  2. Step 2: Convert to fraction form
    32,820.60/49,239 = 9,448.86/x
  3. Step 3: Cross multiply
    32,820.60x = 49,239 × 9,448.86
  4. Step 4: Simplify right side
    32,820.60x = 465,252,417.54
  5. Step 5: Solve for x
    x = 465,252,417.54/32,820.60
  6. Step 6: Final answer
    x = 14,175.62

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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.