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Finding the Fourth Proportional to 140,009.52, 210,013.86 and 34,828.50

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Solution

The fourth proportional to 140,009.52, 210,013.86 and 34,828.50 is: 52,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,009.52 : 210,013.86 = 34,828.50 : x
  2. Step 2: Convert to fraction form
    140,009.52/210,013.86 = 34,828.50/x
  3. Step 3: Cross multiply
    140,009.52x = 210,013.86 × 34,828.50
  4. Step 4: Simplify right side
    140,009.52x = 7,314,467,723.01
  5. Step 5: Solve for x
    x = 7,314,467,723.01/140,009.52
  6. Step 6: Final answer
    x = 52,242.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.