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Finding the Fourth Proportional to 60,114, 82,961.16 and 33,618

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Solution

The fourth proportional to 60,114, 82,961.16 and 33,618 is: 46,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,114 : 82,961.16 = 33,618 : x
  2. Step 2: Convert to fraction form
    60,114/82,961.16 = 33,618/x
  3. Step 3: Cross multiply
    60,114x = 82,961.16 × 33,618
  4. Step 4: Simplify right side
    60,114x = 2,788,988,276.88
  5. Step 5: Solve for x
    x = 2,788,988,276.88/60,114
  6. Step 6: Final answer
    x = 46,394.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.