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Finding the Fourth Proportional to 85,005.50, 127,507.49 and 31,695.67

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Solution

The fourth proportional to 85,005.50, 127,507.49 and 31,695.67 is: 47,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,005.50 : 127,507.49 = 31,695.67 : x
  2. Step 2: Convert to fraction form
    85,005.50/127,507.49 = 31,695.67/x
  3. Step 3: Cross multiply
    85,005.50x = 127,507.49 × 31,695.67
  4. Step 4: Simplify right side
    85,005.50x = 4,041,434,688.03
  5. Step 5: Solve for x
    x = 4,041,434,688.03/85,005.50
  6. Step 6: Final answer
    x = 47,543.21

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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.