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Finding the Fourth Proportional to 111,499, 167,248.50 and 37,627

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Solution

The fourth proportional to 111,499, 167,248.50 and 37,627 is: 56,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,499 : 167,248.50 = 37,627 : x
  2. Step 2: Convert to fraction form
    111,499/167,248.50 = 37,627/x
  3. Step 3: Cross multiply
    111,499x = 167,248.50 × 37,627
  4. Step 4: Simplify right side
    111,499x = 6,293,059,309.50
  5. Step 5: Solve for x
    x = 6,293,059,309.50/111,499
  6. Step 6: Final answer
    x = 56,440.50

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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.