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Finding the Fourth Proportional to 52,809.46, 72,941.79 and 42,749.26

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Solution

The fourth proportional to 52,809.46, 72,941.79 and 42,749.26 is: 59,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.46 : 72,941.79 = 42,749.26 : x
  2. Step 2: Convert to fraction form
    52,809.46/72,941.79 = 42,749.26/x
  3. Step 3: Cross multiply
    52,809.46x = 72,941.79 × 42,749.26
  4. Step 4: Simplify right side
    52,809.46x = 3,118,207,545.58
  5. Step 5: Solve for x
    x = 3,118,207,545.58/52,809.46
  6. Step 6: Final answer
    x = 59,046.38

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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.