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Finding the Fourth Proportional to 76,155, 114,232.50 and 20,751

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Solution

The fourth proportional to 76,155, 114,232.50 and 20,751 is: 31,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,155 : 114,232.50 = 20,751 : x
  2. Step 2: Convert to fraction form
    76,155/114,232.50 = 20,751/x
  3. Step 3: Cross multiply
    76,155x = 114,232.50 × 20,751
  4. Step 4: Simplify right side
    76,155x = 2,370,438,607.50
  5. Step 5: Solve for x
    x = 2,370,438,607.50/76,155
  6. Step 6: Final answer
    x = 31,126.50

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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.