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Finding the Fourth Proportional to 73,829.80, 101,849.70 and 53,655.40

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Solution

The fourth proportional to 73,829.80, 101,849.70 and 53,655.40 is: 74,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,829.80 : 101,849.70 = 53,655.40 : x
  2. Step 2: Convert to fraction form
    73,829.80/101,849.70 = 53,655.40/x
  3. Step 3: Cross multiply
    73,829.80x = 101,849.70 × 53,655.40
  4. Step 4: Simplify right side
    73,829.80x = 5,464,786,393.38
  5. Step 5: Solve for x
    x = 5,464,786,393.38/73,829.80
  6. Step 6: Final answer
    x = 74,018.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.