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Finding the Fourth Proportional to 59,795.98, 82,522 and 34,302.16

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Solution

The fourth proportional to 59,795.98, 82,522 and 34,302.16 is: 47,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,795.98 : 82,522 = 34,302.16 : x
  2. Step 2: Convert to fraction form
    59,795.98/82,522 = 34,302.16/x
  3. Step 3: Cross multiply
    59,795.98x = 82,522 × 34,302.16
  4. Step 4: Simplify right side
    59,795.98x = 2,830,682,847.52
  5. Step 5: Solve for x
    x = 2,830,682,847.52/59,795.98
  6. Step 6: Final answer
    x = 47,339.02

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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.