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Finding the Fourth Proportional to 59,465.83, 82,050 and 34,300.75

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Solution

The fourth proportional to 59,465.83, 82,050 and 34,300.75 is: 47,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,465.83 : 82,050 = 34,300.75 : x
  2. Step 2: Convert to fraction form
    59,465.83/82,050 = 34,300.75/x
  3. Step 3: Cross multiply
    59,465.83x = 82,050 × 34,300.75
  4. Step 4: Simplify right side
    59,465.83x = 2,814,376,537.50
  5. Step 5: Solve for x
    x = 2,814,376,537.50/59,465.83
  6. Step 6: Final answer
    x = 47,327.63

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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.