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Finding the Fourth Proportional to 85,300.53, 127,967.20 and 32,705.92

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Solution

The fourth proportional to 85,300.53, 127,967.20 and 32,705.92 is: 49,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,300.53 : 127,967.20 = 32,705.92 : x
  2. Step 2: Convert to fraction form
    85,300.53/127,967.20 = 32,705.92/x
  3. Step 3: Cross multiply
    85,300.53x = 127,967.20 × 32,705.92
  4. Step 4: Simplify right side
    85,300.53x = 4,185,284,202.46
  5. Step 5: Solve for x
    x = 4,185,284,202.46/85,300.53
  6. Step 6: Final answer
    x = 49,065.16

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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.