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Finding the Fourth Proportional to 77,457.84, 116,034.48 and 51,082.08

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Solution

The fourth proportional to 77,457.84, 116,034.48 and 51,082.08 is: 76,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,457.84 : 116,034.48 = 51,082.08 : x
  2. Step 2: Convert to fraction form
    77,457.84/116,034.48 = 51,082.08/x
  3. Step 3: Cross multiply
    77,457.84x = 116,034.48 × 51,082.08
  4. Step 4: Simplify right side
    77,457.84x = 5,927,282,590.12
  5. Step 5: Solve for x
    x = 5,927,282,590.12/77,457.84
  6. Step 6: Final answer
    x = 76,522.69

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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.