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Finding the Fourth Proportional to 117,298.64, 175,934.10 and 33,065.12

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Solution

The fourth proportional to 117,298.64, 175,934.10 and 33,065.12 is: 49,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,298.64 : 175,934.10 = 33,065.12 : x
  2. Step 2: Convert to fraction form
    117,298.64/175,934.10 = 33,065.12/x
  3. Step 3: Cross multiply
    117,298.64x = 175,934.10 × 33,065.12
  4. Step 4: Simplify right side
    117,298.64x = 5,817,282,128.59
  5. Step 5: Solve for x
    x = 5,817,282,128.59/117,298.64
  6. Step 6: Final answer
    x = 49,593.77

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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.