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Finding the Fourth Proportional to 55,817.60, 83,702.10 and 18,363.20

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Solution

The fourth proportional to 55,817.60, 83,702.10 and 18,363.20 is: 27,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,817.60 : 83,702.10 = 18,363.20 : x
  2. Step 2: Convert to fraction form
    55,817.60/83,702.10 = 18,363.20/x
  3. Step 3: Cross multiply
    55,817.60x = 83,702.10 × 18,363.20
  4. Step 4: Simplify right side
    55,817.60x = 1,537,038,402.72
  5. Step 5: Solve for x
    x = 1,537,038,402.72/55,817.60
  6. Step 6: Final answer
    x = 27,536.81

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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.