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Finding the Fourth Proportional to 42,615.50, 63,911 and 13,026.38

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Solution

The fourth proportional to 42,615.50, 63,911 and 13,026.38 is: 19,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,615.50 : 63,911 = 13,026.38 : x
  2. Step 2: Convert to fraction form
    42,615.50/63,911 = 13,026.38/x
  3. Step 3: Cross multiply
    42,615.50x = 63,911 × 13,026.38
  4. Step 4: Simplify right side
    42,615.50x = 832,528,972.18
  5. Step 5: Solve for x
    x = 832,528,972.18/42,615.50
  6. Step 6: Final answer
    x = 19,535.83

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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.