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Finding the Fourth Proportional to 77,694.57, 116,541.86 and 51,393.16

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Solution

The fourth proportional to 77,694.57, 116,541.86 and 51,393.16 is: 77,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,694.57 : 116,541.86 = 51,393.16 : x
  2. Step 2: Convert to fraction form
    77,694.57/116,541.86 = 51,393.16/x
  3. Step 3: Cross multiply
    77,694.57x = 116,541.86 × 51,393.16
  4. Step 4: Simplify right side
    77,694.57x = 5,989,454,346.39
  5. Step 5: Solve for x
    x = 5,989,454,346.39/77,694.57
  6. Step 6: Final answer
    x = 77,089.74

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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.