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Finding the Fourth Proportional to 56,266.80, 84,400.20 and 47,409.45

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Solution

The fourth proportional to 56,266.80, 84,400.20 and 47,409.45 is: 71,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,266.80 : 84,400.20 = 47,409.45 : x
  2. Step 2: Convert to fraction form
    56,266.80/84,400.20 = 47,409.45/x
  3. Step 3: Cross multiply
    56,266.80x = 84,400.20 × 47,409.45
  4. Step 4: Simplify right side
    56,266.80x = 4,001,367,061.89
  5. Step 5: Solve for x
    x = 4,001,367,061.89/56,266.80
  6. Step 6: Final answer
    x = 71,114.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.