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Finding the Fourth Proportional to 78,095.10, 107,742.24 and 51,252.51

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Solution

The fourth proportional to 78,095.10, 107,742.24 and 51,252.51 is: 70,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,095.10 : 107,742.24 = 51,252.51 : x
  2. Step 2: Convert to fraction form
    78,095.10/107,742.24 = 51,252.51/x
  3. Step 3: Cross multiply
    78,095.10x = 107,742.24 × 51,252.51
  4. Step 4: Simplify right side
    78,095.10x = 5,522,060,233.02
  5. Step 5: Solve for x
    x = 5,522,060,233.02/78,095.10
  6. Step 6: Final answer
    x = 70,709.43

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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.