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Finding the Fourth Proportional to 116,782.77, 175,174.16 and 28,036.28

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Solution

The fourth proportional to 116,782.77, 175,174.16 and 28,036.28 is: 42,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,782.77 : 175,174.16 = 28,036.28 : x
  2. Step 2: Convert to fraction form
    116,782.77/175,174.16 = 28,036.28/x
  3. Step 3: Cross multiply
    116,782.77x = 175,174.16 × 28,036.28
  4. Step 4: Simplify right side
    116,782.77x = 4,911,230,782.47
  5. Step 5: Solve for x
    x = 4,911,230,782.47/116,782.77
  6. Step 6: Final answer
    x = 42,054.41

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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.