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Finding the Fourth Proportional to 85,300.95, 127,984.41 and 35,368.23

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Solution

The fourth proportional to 85,300.95, 127,984.41 and 35,368.23 is: 53,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,300.95 : 127,984.41 = 35,368.23 : x
  2. Step 2: Convert to fraction form
    85,300.95/127,984.41 = 35,368.23/x
  3. Step 3: Cross multiply
    85,300.95x = 127,984.41 × 35,368.23
  4. Step 4: Simplify right side
    85,300.95x = 4,526,582,049.29
  5. Step 5: Solve for x
    x = 4,526,582,049.29/85,300.95
  6. Step 6: Final answer
    x = 53,066.02

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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.