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Finding the Fourth Proportional to 59,730.56, 82,428.21 and 32,875

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Solution

The fourth proportional to 59,730.56, 82,428.21 and 32,875 is: 45,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,730.56 : 82,428.21 = 32,875 : x
  2. Step 2: Convert to fraction form
    59,730.56/82,428.21 = 32,875/x
  3. Step 3: Cross multiply
    59,730.56x = 82,428.21 × 32,875
  4. Step 4: Simplify right side
    59,730.56x = 2,709,827,403.75
  5. Step 5: Solve for x
    x = 2,709,827,403.75/59,730.56
  6. Step 6: Final answer
    x = 45,367.52

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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.