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Finding the Fourth Proportional to 140,029.02, 210,043.17 and 34,848

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Solution

The fourth proportional to 140,029.02, 210,043.17 and 34,848 is: 52,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,029.02 : 210,043.17 = 34,848 : x
  2. Step 2: Convert to fraction form
    140,029.02/210,043.17 = 34,848/x
  3. Step 3: Cross multiply
    140,029.02x = 210,043.17 × 34,848
  4. Step 4: Simplify right side
    140,029.02x = 7,319,584,388.16
  5. Step 5: Solve for x
    x = 7,319,584,388.16/140,029.02
  6. Step 6: Final answer
    x = 52,271.91

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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.