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Finding the Fourth Proportional to 32,795.25, 49,201.19 and 9,421.70

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Solution

The fourth proportional to 32,795.25, 49,201.19 and 9,421.70 is: 14,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,795.25 : 49,201.19 = 9,421.70 : x
  2. Step 2: Convert to fraction form
    32,795.25/49,201.19 = 9,421.70/x
  3. Step 3: Cross multiply
    32,795.25x = 49,201.19 × 9,421.70
  4. Step 4: Simplify right side
    32,795.25x = 463,558,558.71
  5. Step 5: Solve for x
    x = 463,558,558.71/32,795.25
  6. Step 6: Final answer
    x = 14,134.93

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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.