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Finding the Fourth Proportional to 116,643.52, 174,995.86 and 36,678.24

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Solution

The fourth proportional to 116,643.52, 174,995.86 and 36,678.24 is: 55,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,643.52 : 174,995.86 = 36,678.24 : x
  2. Step 2: Convert to fraction form
    116,643.52/174,995.86 = 36,678.24/x
  3. Step 3: Cross multiply
    116,643.52x = 174,995.86 × 36,678.24
  4. Step 4: Simplify right side
    116,643.52x = 6,418,539,968.70
  5. Step 5: Solve for x
    x = 6,418,539,968.70/116,643.52
  6. Step 6: Final answer
    x = 55,026.98

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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.