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Finding the Fourth Proportional to 84,713.50, 127,070.25 and 29,309.50

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Solution

The fourth proportional to 84,713.50, 127,070.25 and 29,309.50 is: 43,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,713.50 : 127,070.25 = 29,309.50 : x
  2. Step 2: Convert to fraction form
    84,713.50/127,070.25 = 29,309.50/x
  3. Step 3: Cross multiply
    84,713.50x = 127,070.25 × 29,309.50
  4. Step 4: Simplify right side
    84,713.50x = 3,724,365,492.38
  5. Step 5: Solve for x
    x = 3,724,365,492.38/84,713.50
  6. Step 6: Final answer
    x = 43,964.25

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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.