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Finding the Fourth Proportional to 32,962.32, 49,446.40 and 9,270.07

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Solution

The fourth proportional to 32,962.32, 49,446.40 and 9,270.07 is: 13,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.32 : 49,446.40 = 9,270.07 : x
  2. Step 2: Convert to fraction form
    32,962.32/49,446.40 = 9,270.07/x
  3. Step 3: Cross multiply
    32,962.32x = 49,446.40 × 9,270.07
  4. Step 4: Simplify right side
    32,962.32x = 458,371,566.07
  5. Step 5: Solve for x
    x = 458,371,566.07/32,962.32
  6. Step 6: Final answer
    x = 13,905.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.