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Finding the Fourth Proportional to 32,705.96, 49,060.58 and 9,335.84

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Solution

The fourth proportional to 32,705.96, 49,060.58 and 9,335.84 is: 14,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.96 : 49,060.58 = 9,335.84 : x
  2. Step 2: Convert to fraction form
    32,705.96/49,060.58 = 9,335.84/x
  3. Step 3: Cross multiply
    32,705.96x = 49,060.58 × 9,335.84
  4. Step 4: Simplify right side
    32,705.96x = 458,021,725.19
  5. Step 5: Solve for x
    x = 458,021,725.19/32,705.96
  6. Step 6: Final answer
    x = 14,004.23

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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.