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Finding the Fourth Proportional to 71,295.86, 98,398.64 and 41,075.30

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Solution

The fourth proportional to 71,295.86, 98,398.64 and 41,075.30 is: 56,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,295.86 : 98,398.64 = 41,075.30 : x
  2. Step 2: Convert to fraction form
    71,295.86/98,398.64 = 41,075.30/x
  3. Step 3: Cross multiply
    71,295.86x = 98,398.64 × 41,075.30
  4. Step 4: Simplify right side
    71,295.86x = 4,041,753,268.29
  5. Step 5: Solve for x
    x = 4,041,753,268.29/71,295.86
  6. Step 6: Final answer
    x = 56,689.88

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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.