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Finding the Fourth Proportional to 58,903.80, 81,281.16 and 33,405

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Solution

The fourth proportional to 58,903.80, 81,281.16 and 33,405 is: 46,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,903.80 : 81,281.16 = 33,405 : x
  2. Step 2: Convert to fraction form
    58,903.80/81,281.16 = 33,405/x
  3. Step 3: Cross multiply
    58,903.80x = 81,281.16 × 33,405
  4. Step 4: Simplify right side
    58,903.80x = 2,715,197,149.80
  5. Step 5: Solve for x
    x = 2,715,197,149.80/58,903.80
  6. Step 6: Final answer
    x = 46,095.45

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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.