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Finding the Fourth Proportional to 140,006.49, 210,009.35 and 34,825.47

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Solution

The fourth proportional to 140,006.49, 210,009.35 and 34,825.47 is: 52,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,006.49 : 210,009.35 = 34,825.47 : x
  2. Step 2: Convert to fraction form
    140,006.49/210,009.35 = 34,825.47/x
  3. Step 3: Cross multiply
    140,006.49x = 210,009.35 × 34,825.47
  4. Step 4: Simplify right side
    140,006.49x = 7,313,674,144.02
  5. Step 5: Solve for x
    x = 7,313,674,144.02/140,006.49
  6. Step 6: Final answer
    x = 52,238.11

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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.