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Finding the Fourth Proportional to 70,445.72, 105,643.47 and 23,049.38

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Solution

The fourth proportional to 70,445.72, 105,643.47 and 23,049.38 is: 34,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,445.72 : 105,643.47 = 23,049.38 : x
  2. Step 2: Convert to fraction form
    70,445.72/105,643.47 = 23,049.38/x
  3. Step 3: Cross multiply
    70,445.72x = 105,643.47 × 23,049.38
  4. Step 4: Simplify right side
    70,445.72x = 2,435,016,484.55
  5. Step 5: Solve for x
    x = 2,435,016,484.55/70,445.72
  6. Step 6: Final answer
    x = 34,565.85

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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.