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Finding the Fourth Proportional to 71,068.96, 98,011.84 and 45,892

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Solution

The fourth proportional to 71,068.96, 98,011.84 and 45,892 is: 63,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,068.96 : 98,011.84 = 45,892 : x
  2. Step 2: Convert to fraction form
    71,068.96/98,011.84 = 45,892/x
  3. Step 3: Cross multiply
    71,068.96x = 98,011.84 × 45,892
  4. Step 4: Simplify right side
    71,068.96x = 4,497,959,361.28
  5. Step 5: Solve for x
    x = 4,497,959,361.28/71,068.96
  6. Step 6: Final answer
    x = 63,290.07

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Why These Related Problems?

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