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Finding the Fourth Proportional to 70,409.61, 105,614.33 and 23,695.29

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Solution

The fourth proportional to 70,409.61, 105,614.33 and 23,695.29 is: 35,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.61 : 105,614.33 = 23,695.29 : x
  2. Step 2: Convert to fraction form
    70,409.61/105,614.33 = 23,695.29/x
  3. Step 3: Cross multiply
    70,409.61x = 105,614.33 × 23,695.29
  4. Step 4: Simplify right side
    70,409.61x = 2,502,562,059.03
  5. Step 5: Solve for x
    x = 2,502,562,059.03/70,409.61
  6. Step 6: Final answer
    x = 35,542.90

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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.