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Finding the Fourth Proportional to 96,527.60, 144,786.60 and 49,785.20

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Solution

The fourth proportional to 96,527.60, 144,786.60 and 49,785.20 is: 74,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,527.60 : 144,786.60 = 49,785.20 : x
  2. Step 2: Convert to fraction form
    96,527.60/144,786.60 = 49,785.20/x
  3. Step 3: Cross multiply
    96,527.60x = 144,786.60 × 49,785.20
  4. Step 4: Simplify right side
    96,527.60x = 7,208,229,838.32
  5. Step 5: Solve for x
    x = 7,208,229,838.32/96,527.60
  6. Step 6: Final answer
    x = 74,675.32

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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.