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Finding the Fourth Proportional to 32,955.68, 49,438.34 and 9,579.08

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Solution

The fourth proportional to 32,955.68, 49,438.34 and 9,579.08 is: 14,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,955.68 : 49,438.34 = 9,579.08 : x
  2. Step 2: Convert to fraction form
    32,955.68/49,438.34 = 9,579.08/x
  3. Step 3: Cross multiply
    32,955.68x = 49,438.34 × 9,579.08
  4. Step 4: Simplify right side
    32,955.68x = 473,573,813.93
  5. Step 5: Solve for x
    x = 473,573,813.93/32,955.68
  6. Step 6: Final answer
    x = 14,370.02

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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.