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Finding the Fourth Proportional to 97,049.68, 133,973.84 and 56,757.88

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Solution

The fourth proportional to 97,049.68, 133,973.84 and 56,757.88 is: 78,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,049.68 : 133,973.84 = 56,757.88 : x
  2. Step 2: Convert to fraction form
    97,049.68/133,973.84 = 56,757.88/x
  3. Step 3: Cross multiply
    97,049.68x = 133,973.84 × 56,757.88
  4. Step 4: Simplify right side
    97,049.68x = 7,604,071,133.86
  5. Step 5: Solve for x
    x = 7,604,071,133.86/97,049.68
  6. Step 6: Final answer
    x = 78,352.36

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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.