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Finding the Fourth Proportional to 77,369.16, 116,065.74 and 32,996

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Solution

The fourth proportional to 77,369.16, 116,065.74 and 32,996 is: 49,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,369.16 : 116,065.74 = 32,996 : x
  2. Step 2: Convert to fraction form
    77,369.16/116,065.74 = 32,996/x
  3. Step 3: Cross multiply
    77,369.16x = 116,065.74 × 32,996
  4. Step 4: Simplify right side
    77,369.16x = 3,829,705,157.04
  5. Step 5: Solve for x
    x = 3,829,705,157.04/77,369.16
  6. Step 6: Final answer
    x = 49,499.12

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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.