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Finding the Fourth Proportional to 75,980.86, 104,756.15 and 52,066.01

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Solution

The fourth proportional to 75,980.86, 104,756.15 and 52,066.01 is: 71,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.86 : 104,756.15 = 52,066.01 : x
  2. Step 2: Convert to fraction form
    75,980.86/104,756.15 = 52,066.01/x
  3. Step 3: Cross multiply
    75,980.86x = 104,756.15 × 52,066.01
  4. Step 4: Simplify right side
    75,980.86x = 5,454,235,145.52
  5. Step 5: Solve for x
    x = 5,454,235,145.52/75,980.86
  6. Step 6: Final answer
    x = 71,784.33

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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.