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Finding the Fourth Proportional to 42,117.50, 63,175.99 and 10,527.40

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Solution

The fourth proportional to 42,117.50, 63,175.99 and 10,527.40 is: 15,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,117.50 : 63,175.99 = 10,527.40 : x
  2. Step 2: Convert to fraction form
    42,117.50/63,175.99 = 10,527.40/x
  3. Step 3: Cross multiply
    42,117.50x = 63,175.99 × 10,527.40
  4. Step 4: Simplify right side
    42,117.50x = 665,078,732.87
  5. Step 5: Solve for x
    x = 665,078,732.87/42,117.50
  6. Step 6: Final answer
    x = 15,791.03

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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.