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Finding the Fourth Proportional to 111,518, 167,302.92 and 37,646

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Solution

The fourth proportional to 111,518, 167,302.92 and 37,646 is: 56,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,518 : 167,302.92 = 37,646 : x
  2. Step 2: Convert to fraction form
    111,518/167,302.92 = 37,646/x
  3. Step 3: Cross multiply
    111,518x = 167,302.92 × 37,646
  4. Step 4: Simplify right side
    111,518x = 6,298,285,726.32
  5. Step 5: Solve for x
    x = 6,298,285,726.32/111,518
  6. Step 6: Final answer
    x = 56,477.75

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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.