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Finding the Fourth Proportional to 97,788, 146,682.18 and 35,458.68

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Solution

The fourth proportional to 97,788, 146,682.18 and 35,458.68 is: 53,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,788 : 146,682.18 = 35,458.68 : x
  2. Step 2: Convert to fraction form
    97,788/146,682.18 = 35,458.68/x
  3. Step 3: Cross multiply
    97,788x = 146,682.18 × 35,458.68
  4. Step 4: Simplify right side
    97,788x = 5,201,156,482.32
  5. Step 5: Solve for x
    x = 5,201,156,482.32/97,788
  6. Step 6: Final answer
    x = 53,188.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.