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Finding the Fourth Proportional to 71,503.63, 98,689.35 and 41,293.87

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Solution

The fourth proportional to 71,503.63, 98,689.35 and 41,293.87 is: 56,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,503.63 : 98,689.35 = 41,293.87 : x
  2. Step 2: Convert to fraction form
    71,503.63/98,689.35 = 41,293.87/x
  3. Step 3: Cross multiply
    71,503.63x = 98,689.35 × 41,293.87
  4. Step 4: Simplify right side
    71,503.63x = 4,075,265,189.28
  5. Step 5: Solve for x
    x = 4,075,265,189.28/71,503.63
  6. Step 6: Final answer
    x = 56,993.82

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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.