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Finding the Fourth Proportional to 71,577.12, 98,683.44 and 46,037.82

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Solution

The fourth proportional to 71,577.12, 98,683.44 and 46,037.82 is: 63,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,577.12 : 98,683.44 = 46,037.82 : x
  2. Step 2: Convert to fraction form
    71,577.12/98,683.44 = 46,037.82/x
  3. Step 3: Cross multiply
    71,577.12x = 98,683.44 × 46,037.82
  4. Step 4: Simplify right side
    71,577.12x = 4,543,170,447.70
  5. Step 5: Solve for x
    x = 4,543,170,447.70/71,577.12
  6. Step 6: Final answer
    x = 63,472.38

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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.