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Finding the Fourth Proportional to 42,156.48, 63,265.84 and 19,969.84

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Solution

The fourth proportional to 42,156.48, 63,265.84 and 19,969.84 is: 29,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,156.48 : 63,265.84 = 19,969.84 : x
  2. Step 2: Convert to fraction form
    42,156.48/63,265.84 = 19,969.84/x
  3. Step 3: Cross multiply
    42,156.48x = 63,265.84 × 19,969.84
  4. Step 4: Simplify right side
    42,156.48x = 1,263,408,702.27
  5. Step 5: Solve for x
    x = 1,263,408,702.27/42,156.48
  6. Step 6: Final answer
    x = 29,969.50

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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.