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Finding the Fourth Proportional to 77,762.97, 116,664.84 and 24,452.78

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Solution

The fourth proportional to 77,762.97, 116,664.84 and 24,452.78 is: 36,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762.97 : 116,664.84 = 24,452.78 : x
  2. Step 2: Convert to fraction form
    77,762.97/116,664.84 = 24,452.78/x
  3. Step 3: Cross multiply
    77,762.97x = 116,664.84 × 24,452.78
  4. Step 4: Simplify right side
    77,762.97x = 2,852,779,082.93
  5. Step 5: Solve for x
    x = 2,852,779,082.93/77,762.97
  6. Step 6: Final answer
    x = 36,685.57

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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.