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Finding the Fourth Proportional to 115,264.23, 172,854.75 and 48,709.50

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Solution

The fourth proportional to 115,264.23, 172,854.75 and 48,709.50 is: 73,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,264.23 : 172,854.75 = 48,709.50 : x
  2. Step 2: Convert to fraction form
    115,264.23/172,854.75 = 48,709.50/x
  3. Step 3: Cross multiply
    115,264.23x = 172,854.75 × 48,709.50
  4. Step 4: Simplify right side
    115,264.23x = 8,419,668,445.13
  5. Step 5: Solve for x
    x = 8,419,668,445.13/115,264.23
  6. Step 6: Final answer
    x = 73,046.67

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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.