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Finding the Fourth Proportional to 97,698.96, 134,849.92 and 55,282.10

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Solution

The fourth proportional to 97,698.96, 134,849.92 and 55,282.10 is: 76,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,698.96 : 134,849.92 = 55,282.10 : x
  2. Step 2: Convert to fraction form
    97,698.96/134,849.92 = 55,282.10/x
  3. Step 3: Cross multiply
    97,698.96x = 134,849.92 × 55,282.10
  4. Step 4: Simplify right side
    97,698.96x = 7,454,786,762.43
  5. Step 5: Solve for x
    x = 7,454,786,762.43/97,698.96
  6. Step 6: Final answer
    x = 76,303.65

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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.