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Finding the Fourth Proportional to 92,199, 138,316.68 and 33,018.78

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Solution

The fourth proportional to 92,199, 138,316.68 and 33,018.78 is: 49,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,199 : 138,316.68 = 33,018.78 : x
  2. Step 2: Convert to fraction form
    92,199/138,316.68 = 33,018.78/x
  3. Step 3: Cross multiply
    92,199x = 138,316.68 × 33,018.78
  4. Step 4: Simplify right side
    92,199x = 4,567,048,027.25
  5. Step 5: Solve for x
    x = 4,567,048,027.25/92,199
  6. Step 6: Final answer
    x = 49,534.68

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