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Finding the Fourth Proportional to 61,458, 92,199.12 and 22,004.52

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Solution

The fourth proportional to 61,458, 92,199.12 and 22,004.52 is: 33,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,458 : 92,199.12 = 22,004.52 : x
  2. Step 2: Convert to fraction form
    61,458/92,199.12 = 22,004.52/x
  3. Step 3: Cross multiply
    61,458x = 92,199.12 × 22,004.52
  4. Step 4: Simplify right side
    61,458x = 2,028,797,380.02
  5. Step 5: Solve for x
    x = 2,028,797,380.02/61,458
  6. Step 6: Final answer
    x = 33,011.12

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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.