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Finding the Fourth Proportional to 59,803.30, 82,513.65 and 38,557

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Solution

The fourth proportional to 59,803.30, 82,513.65 and 38,557 is: 53,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,803.30 : 82,513.65 = 38,557 : x
  2. Step 2: Convert to fraction form
    59,803.30/82,513.65 = 38,557/x
  3. Step 3: Cross multiply
    59,803.30x = 82,513.65 × 38,557
  4. Step 4: Simplify right side
    59,803.30x = 3,181,478,803.05
  5. Step 5: Solve for x
    x = 3,181,478,803.05/59,803.30
  6. Step 6: Final answer
    x = 53,199.05

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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.