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Finding the Fourth Proportional to 53,708.40, 80,465.40 and 45,932.40

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Solution

The fourth proportional to 53,708.40, 80,465.40 and 45,932.40 is: 68,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,708.40 : 80,465.40 = 45,932.40 : x
  2. Step 2: Convert to fraction form
    53,708.40/80,465.40 = 45,932.40/x
  3. Step 3: Cross multiply
    53,708.40x = 80,465.40 × 45,932.40
  4. Step 4: Simplify right side
    53,708.40x = 3,695,968,938.96
  5. Step 5: Solve for x
    x = 3,695,968,938.96/53,708.40
  6. Step 6: Final answer
    x = 68,815.47

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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.