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Finding the Fourth Proportional to 77,684.97, 116,502.75 and 25,082.22

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Solution

The fourth proportional to 77,684.97, 116,502.75 and 25,082.22 is: 37,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684.97 : 116,502.75 = 25,082.22 : x
  2. Step 2: Convert to fraction form
    77,684.97/116,502.75 = 25,082.22/x
  3. Step 3: Cross multiply
    77,684.97x = 116,502.75 × 25,082.22
  4. Step 4: Simplify right side
    77,684.97x = 2,922,147,606.11
  5. Step 5: Solve for x
    x = 2,922,147,606.11/77,684.97
  6. Step 6: Final answer
    x = 37,615.35

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1.5x scale

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.