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Finding the Fourth Proportional to 70,152.93, 105,229.53 and 23,405.94

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Solution

The fourth proportional to 70,152.93, 105,229.53 and 23,405.94 is: 35,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152.93 : 105,229.53 = 23,405.94 : x
  2. Step 2: Convert to fraction form
    70,152.93/105,229.53 = 23,405.94/x
  3. Step 3: Cross multiply
    70,152.93x = 105,229.53 × 23,405.94
  4. Step 4: Simplify right side
    70,152.93x = 2,462,996,065.41
  5. Step 5: Solve for x
    x = 2,462,996,065.41/70,152.93
  6. Step 6: Final answer
    x = 35,108.96

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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.