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Finding the Fourth Proportional to 70,465.52, 105,614.04 and 53,695.28

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Solution

The fourth proportional to 70,465.52, 105,614.04 and 53,695.28 is: 80,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,465.52 : 105,614.04 = 53,695.28 : x
  2. Step 2: Convert to fraction form
    70,465.52/105,614.04 = 53,695.28/x
  3. Step 3: Cross multiply
    70,465.52x = 105,614.04 × 53,695.28
  4. Step 4: Simplify right side
    70,465.52x = 5,670,975,449.73
  5. Step 5: Solve for x
    x = 5,670,975,449.73/70,465.52
  6. Step 6: Final answer
    x = 80,478.73

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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.