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Finding the Fourth Proportional to 70,053.07, 105,042.46 and 30,564.05

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Solution

The fourth proportional to 70,053.07, 105,042.46 and 30,564.05 is: 45,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,053.07 : 105,042.46 = 30,564.05 : x
  2. Step 2: Convert to fraction form
    70,053.07/105,042.46 = 30,564.05/x
  3. Step 3: Cross multiply
    70,053.07x = 105,042.46 × 30,564.05
  4. Step 4: Simplify right side
    70,053.07x = 3,210,522,999.56
  5. Step 5: Solve for x
    x = 3,210,522,999.56/70,053.07
  6. Step 6: Final answer
    x = 45,829.87

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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.