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Finding the Fourth Proportional to 77,307.84, 115,872.16 and 35,668.16

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Solution

The fourth proportional to 77,307.84, 115,872.16 and 35,668.16 is: 53,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307.84 : 115,872.16 = 35,668.16 : x
  2. Step 2: Convert to fraction form
    77,307.84/115,872.16 = 35,668.16/x
  3. Step 3: Cross multiply
    77,307.84x = 115,872.16 × 35,668.16
  4. Step 4: Simplify right side
    77,307.84x = 4,132,946,742.43
  5. Step 5: Solve for x
    x = 4,132,946,742.43/77,307.84
  6. Step 6: Final answer
    x = 53,460.90

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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.