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Finding the Fourth Proportional to 102,577.98, 153,934.28 and 36,016.40

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Solution

The fourth proportional to 102,577.98, 153,934.28 and 36,016.40 is: 54,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,577.98 : 153,934.28 = 36,016.40 : x
  2. Step 2: Convert to fraction form
    102,577.98/153,934.28 = 36,016.40/x
  3. Step 3: Cross multiply
    102,577.98x = 153,934.28 × 36,016.40
  4. Step 4: Simplify right side
    102,577.98x = 5,544,157,652.44
  5. Step 5: Solve for x
    x = 5,544,157,652.44/102,577.98
  6. Step 6: Final answer
    x = 54,048.22

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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.