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Finding the Fourth Proportional to 59,618, 82,290.12 and 39,746

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Solution

The fourth proportional to 59,618, 82,290.12 and 39,746 is: 54,861.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,618 : 82,290.12 = 39,746 : x
  2. Step 2: Convert to fraction form
    59,618/82,290.12 = 39,746/x
  3. Step 3: Cross multiply
    59,618x = 82,290.12 × 39,746
  4. Step 4: Simplify right side
    59,618x = 3,270,703,109.52
  5. Step 5: Solve for x
    x = 3,270,703,109.52/59,618
  6. Step 6: Final answer
    x = 54,861.00

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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.