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Finding the Fourth Proportional to 56,495.80, 84,743.70 and 23,204.80

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Solution

The fourth proportional to 56,495.80, 84,743.70 and 23,204.80 is: 34,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,495.80 : 84,743.70 = 23,204.80 : x
  2. Step 2: Convert to fraction form
    56,495.80/84,743.70 = 23,204.80/x
  3. Step 3: Cross multiply
    56,495.80x = 84,743.70 × 23,204.80
  4. Step 4: Simplify right side
    56,495.80x = 1,966,460,609.76
  5. Step 5: Solve for x
    x = 1,966,460,609.76/56,495.80
  6. Step 6: Final answer
    x = 34,807.20

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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.