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Finding the Fourth Proportional to 42,363.10, 63,544.74 and 12,780.98

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Solution

The fourth proportional to 42,363.10, 63,544.74 and 12,780.98 is: 19,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363.10 : 63,544.74 = 12,780.98 : x
  2. Step 2: Convert to fraction form
    42,363.10/63,544.74 = 12,780.98/x
  3. Step 3: Cross multiply
    42,363.10x = 63,544.74 × 12,780.98
  4. Step 4: Simplify right side
    42,363.10x = 812,164,051.05
  5. Step 5: Solve for x
    x = 812,164,051.05/42,363.10
  6. Step 6: Final answer
    x = 19,171.50

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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.