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Finding the Fourth Proportional to 32,768.16, 49,146.76 and 9,389.13

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Solution

The fourth proportional to 32,768.16, 49,146.76 and 9,389.13 is: 14,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.16 : 49,146.76 = 9,389.13 : x
  2. Step 2: Convert to fraction form
    32,768.16/49,146.76 = 9,389.13/x
  3. Step 3: Cross multiply
    32,768.16x = 49,146.76 × 9,389.13
  4. Step 4: Simplify right side
    32,768.16x = 461,445,318.72
  5. Step 5: Solve for x
    x = 461,445,318.72/32,768.16
  6. Step 6: Final answer
    x = 14,082.12

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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.