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Finding the Fourth Proportional to 51,390, 70,918.32 and 29,034

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Solution

The fourth proportional to 51,390, 70,918.32 and 29,034 is: 40,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,390 : 70,918.32 = 29,034 : x
  2. Step 2: Convert to fraction form
    51,390/70,918.32 = 29,034/x
  3. Step 3: Cross multiply
    51,390x = 70,918.32 × 29,034
  4. Step 4: Simplify right side
    51,390x = 2,059,042,502.88
  5. Step 5: Solve for x
    x = 2,059,042,502.88/51,390
  6. Step 6: Final answer
    x = 40,066.99

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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.