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Finding the Fourth Proportional to 56,200.80, 84,301.20 and 14,647.80

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Solution

The fourth proportional to 56,200.80, 84,301.20 and 14,647.80 is: 21,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,200.80 : 84,301.20 = 14,647.80 : x
  2. Step 2: Convert to fraction form
    56,200.80/84,301.20 = 14,647.80/x
  3. Step 3: Cross multiply
    56,200.80x = 84,301.20 × 14,647.80
  4. Step 4: Simplify right side
    56,200.80x = 1,234,827,117.36
  5. Step 5: Solve for x
    x = 1,234,827,117.36/56,200.80
  6. Step 6: Final answer
    x = 21,971.70

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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.