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Finding the Fourth Proportional to 42,415.20, 59,512.50 and 42,415.20

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Solution

The fourth proportional to 42,415.20, 59,512.50 and 42,415.20 is: 59,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,415.20 : 59,512.50 = 42,415.20 : x
  2. Step 2: Convert to fraction form
    42,415.20/59,512.50 = 42,415.20/x
  3. Step 3: Cross multiply
    42,415.20x = 59,512.50 × 42,415.20
  4. Step 4: Simplify right side
    42,415.20x = 2,524,234,590
  5. Step 5: Solve for x
    x = 2,524,234,590/42,415.20
  6. Step 6: Final answer
    x = 59,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.