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Finding the Fourth Proportional to 117,458.64, 176,199.12 and 38,573.28

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Solution

The fourth proportional to 117,458.64, 176,199.12 and 38,573.28 is: 57,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,458.64 : 176,199.12 = 38,573.28 : x
  2. Step 2: Convert to fraction form
    117,458.64/176,199.12 = 38,573.28/x
  3. Step 3: Cross multiply
    117,458.64x = 176,199.12 × 38,573.28
  4. Step 4: Simplify right side
    117,458.64x = 6,796,577,991.51
  5. Step 5: Solve for x
    x = 6,796,577,991.51/117,458.64
  6. Step 6: Final answer
    x = 57,863.58

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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.