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Finding the Fourth Proportional to 51,534.66, 71,113.05 and 29,178.66

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Solution

The fourth proportional to 51,534.66, 71,113.05 and 29,178.66 is: 40,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,534.66 : 71,113.05 = 29,178.66 : x
  2. Step 2: Convert to fraction form
    51,534.66/71,113.05 = 29,178.66/x
  3. Step 3: Cross multiply
    51,534.66x = 71,113.05 × 29,178.66
  4. Step 4: Simplify right side
    51,534.66x = 2,074,983,507.51
  5. Step 5: Solve for x
    x = 2,074,983,507.51/51,534.66
  6. Step 6: Final answer
    x = 40,263.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.