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Finding the Fourth Proportional to 103,126.96, 154,646.70 and 36,583.84

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Solution

The fourth proportional to 103,126.96, 154,646.70 and 36,583.84 is: 54,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,126.96 : 154,646.70 = 36,583.84 : x
  2. Step 2: Convert to fraction form
    103,126.96/154,646.70 = 36,583.84/x
  3. Step 3: Cross multiply
    103,126.96x = 154,646.70 × 36,583.84
  4. Step 4: Simplify right side
    103,126.96x = 5,657,570,129.33
  5. Step 5: Solve for x
    x = 5,657,570,129.33/103,126.96
  6. Step 6: Final answer
    x = 54,860.24

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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.