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Finding the Fourth Proportional to 77,698.64, 116,536.41 and 21,532.88

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Solution

The fourth proportional to 77,698.64, 116,536.41 and 21,532.88 is: 32,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,698.64 : 116,536.41 = 21,532.88 : x
  2. Step 2: Convert to fraction form
    77,698.64/116,536.41 = 21,532.88/x
  3. Step 3: Cross multiply
    77,698.64x = 116,536.41 × 21,532.88
  4. Step 4: Simplify right side
    77,698.64x = 2,509,364,823.50
  5. Step 5: Solve for x
    x = 2,509,364,823.50/77,698.64
  6. Step 6: Final answer
    x = 32,296.12

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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.