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Finding the Fourth Proportional to 53,742.40, 80,516.40 and 45,966.40

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Solution

The fourth proportional to 53,742.40, 80,516.40 and 45,966.40 is: 68,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742.40 : 80,516.40 = 45,966.40 : x
  2. Step 2: Convert to fraction form
    53,742.40/80,516.40 = 45,966.40/x
  3. Step 3: Cross multiply
    53,742.40x = 80,516.40 × 45,966.40
  4. Step 4: Simplify right side
    53,742.40x = 3,701,049,048.96
  5. Step 5: Solve for x
    x = 3,701,049,048.96/53,742.40
  6. Step 6: Final answer
    x = 68,866.46

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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.