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Finding the Fourth Proportional to 101,820.24, 152,752.44 and 42,625.44

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Solution

The fourth proportional to 101,820.24, 152,752.44 and 42,625.44 is: 63,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,820.24 : 152,752.44 = 42,625.44 : x
  2. Step 2: Convert to fraction form
    101,820.24/152,752.44 = 42,625.44/x
  3. Step 3: Cross multiply
    101,820.24x = 152,752.44 × 42,625.44
  4. Step 4: Simplify right side
    101,820.24x = 6,511,139,966.07
  5. Step 5: Solve for x
    x = 6,511,139,966.07/101,820.24
  6. Step 6: Final answer
    x = 63,947.40

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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.