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Finding the Fourth Proportional to 32,952.42, 49,435.89 and 9,580.68

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Solution

The fourth proportional to 32,952.42, 49,435.89 and 9,580.68 is: 14,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.42 : 49,435.89 = 9,580.68 : x
  2. Step 2: Convert to fraction form
    32,952.42/49,435.89 = 9,580.68/x
  3. Step 3: Cross multiply
    32,952.42x = 49,435.89 × 9,580.68
  4. Step 4: Simplify right side
    32,952.42x = 473,629,442.61
  5. Step 5: Solve for x
    x = 473,629,442.61/32,952.42
  6. Step 6: Final answer
    x = 14,373.13

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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.