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Finding the Fourth Proportional to 76,501.10, 114,751.49 and 20,341.22

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Solution

The fourth proportional to 76,501.10, 114,751.49 and 20,341.22 is: 30,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,501.10 : 114,751.49 = 20,341.22 : x
  2. Step 2: Convert to fraction form
    76,501.10/114,751.49 = 20,341.22/x
  3. Step 3: Cross multiply
    76,501.10x = 114,751.49 × 20,341.22
  4. Step 4: Simplify right side
    76,501.10x = 2,334,184,780.51
  5. Step 5: Solve for x
    x = 2,334,184,780.51/76,501.10
  6. Step 6: Final answer
    x = 30,511.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.