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Finding the Fourth Proportional to 41,186.50, 61,780.29 and 13,484.50

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Solution

The fourth proportional to 41,186.50, 61,780.29 and 13,484.50 is: 20,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,186.50 : 61,780.29 = 13,484.50 : x
  2. Step 2: Convert to fraction form
    41,186.50/61,780.29 = 13,484.50/x
  3. Step 3: Cross multiply
    41,186.50x = 61,780.29 × 13,484.50
  4. Step 4: Simplify right side
    41,186.50x = 833,076,320.51
  5. Step 5: Solve for x
    x = 833,076,320.51/41,186.50
  6. Step 6: Final answer
    x = 20,226.93

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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.