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Finding the Fourth Proportional to 97,051.68, 133,976.64 and 56,759.88

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Solution

The fourth proportional to 97,051.68, 133,976.64 and 56,759.88 is: 78,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,051.68 : 133,976.64 = 56,759.88 : x
  2. Step 2: Convert to fraction form
    97,051.68/133,976.64 = 56,759.88/x
  3. Step 3: Cross multiply
    97,051.68x = 133,976.64 × 56,759.88
  4. Step 4: Simplify right side
    97,051.68x = 7,604,498,009.20
  5. Step 5: Solve for x
    x = 7,604,498,009.20/97,051.68
  6. Step 6: Final answer
    x = 78,355.14

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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.