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Finding the Fourth Proportional to 55,503.40, 83,255.10 and 41,506.60

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Solution

The fourth proportional to 55,503.40, 83,255.10 and 41,506.60 is: 62,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,503.40 : 83,255.10 = 41,506.60 : x
  2. Step 2: Convert to fraction form
    55,503.40/83,255.10 = 41,506.60/x
  3. Step 3: Cross multiply
    55,503.40x = 83,255.10 × 41,506.60
  4. Step 4: Simplify right side
    55,503.40x = 3,455,636,133.66
  5. Step 5: Solve for x
    x = 3,455,636,133.66/55,503.40
  6. Step 6: Final answer
    x = 62,259.90

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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.