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Finding the Fourth Proportional to 116,758.64, 175,162.54 and 37,866.70

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Solution

The fourth proportional to 116,758.64, 175,162.54 and 37,866.70 is: 56,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,758.64 : 175,162.54 = 37,866.70 : x
  2. Step 2: Convert to fraction form
    116,758.64/175,162.54 = 37,866.70/x
  3. Step 3: Cross multiply
    116,758.64x = 175,162.54 × 37,866.70
  4. Step 4: Simplify right side
    116,758.64x = 6,632,827,353.42
  5. Step 5: Solve for x
    x = 6,632,827,353.42/116,758.64
  6. Step 6: Final answer
    x = 56,808.02

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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.