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Finding the Fourth Proportional to 59,458.12, 82,049.16 and 34,306

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Solution

The fourth proportional to 59,458.12, 82,049.16 and 34,306 is: 47,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,458.12 : 82,049.16 = 34,306 : x
  2. Step 2: Convert to fraction form
    59,458.12/82,049.16 = 34,306/x
  3. Step 3: Cross multiply
    59,458.12x = 82,049.16 × 34,306
  4. Step 4: Simplify right side
    59,458.12x = 2,814,778,482.96
  5. Step 5: Solve for x
    x = 2,814,778,482.96/59,458.12
  6. Step 6: Final answer
    x = 47,340.52

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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.