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Finding the Fourth Proportional to 56,543.70, 84,817.14 and 23,240.70

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Solution

The fourth proportional to 56,543.70, 84,817.14 and 23,240.70 is: 34,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,543.70 : 84,817.14 = 23,240.70 : x
  2. Step 2: Convert to fraction form
    56,543.70/84,817.14 = 23,240.70/x
  3. Step 3: Cross multiply
    56,543.70x = 84,817.14 × 23,240.70
  4. Step 4: Simplify right side
    56,543.70x = 1,971,209,705.60
  5. Step 5: Solve for x
    x = 1,971,209,705.60/56,543.70
  6. Step 6: Final answer
    x = 34,861.70

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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.