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Finding the Fourth Proportional to 97,518, 134,577.84 and 54,500.88

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Solution

The fourth proportional to 97,518, 134,577.84 and 54,500.88 is: 75,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,518 : 134,577.84 = 54,500.88 : x
  2. Step 2: Convert to fraction form
    97,518/134,577.84 = 54,500.88/x
  3. Step 3: Cross multiply
    97,518x = 134,577.84 × 54,500.88
  4. Step 4: Simplify right side
    97,518x = 7,334,610,708.50
  5. Step 5: Solve for x
    x = 7,334,610,708.50/97,518
  6. Step 6: Final answer
    x = 75,212.89

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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.