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Finding the Fourth Proportional to 76,594.16, 114,891.28 and 35,012

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Solution

The fourth proportional to 76,594.16, 114,891.28 and 35,012 is: 52,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,594.16 : 114,891.28 = 35,012 : x
  2. Step 2: Convert to fraction form
    76,594.16/114,891.28 = 35,012/x
  3. Step 3: Cross multiply
    76,594.16x = 114,891.28 × 35,012
  4. Step 4: Simplify right side
    76,594.16x = 4,022,573,495.36
  5. Step 5: Solve for x
    x = 4,022,573,495.36/76,594.16
  6. Step 6: Final answer
    x = 52,518.02

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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.