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Finding the Fourth Proportional to 32,955.78, 49,433.64 and 9,582.42

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Solution

The fourth proportional to 32,955.78, 49,433.64 and 9,582.42 is: 14,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,955.78 : 49,433.64 = 9,582.42 : x
  2. Step 2: Convert to fraction form
    32,955.78/49,433.64 = 9,582.42/x
  3. Step 3: Cross multiply
    32,955.78x = 49,433.64 × 9,582.42
  4. Step 4: Simplify right side
    32,955.78x = 473,693,900.61
  5. Step 5: Solve for x
    x = 473,693,900.61/32,955.78
  6. Step 6: Final answer
    x = 14,373.62

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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.