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Finding the Fourth Proportional to 70,490.46, 105,745.75 and 23,095.42

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Solution

The fourth proportional to 70,490.46, 105,745.75 and 23,095.42 is: 34,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490.46 : 105,745.75 = 23,095.42 : x
  2. Step 2: Convert to fraction form
    70,490.46/105,745.75 = 23,095.42/x
  3. Step 3: Cross multiply
    70,490.46x = 105,745.75 × 23,095.42
  4. Step 4: Simplify right side
    70,490.46x = 2,442,242,509.47
  5. Step 5: Solve for x
    x = 2,442,242,509.47/70,490.46
  6. Step 6: Final answer
    x = 34,646.43

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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.