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Finding the Fourth Proportional to 42,459.68, 58,595 and 23,596.80

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Solution

The fourth proportional to 42,459.68, 58,595 and 23,596.80 is: 32,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,459.68 : 58,595 = 23,596.80 : x
  2. Step 2: Convert to fraction form
    42,459.68/58,595 = 23,596.80/x
  3. Step 3: Cross multiply
    42,459.68x = 58,595 × 23,596.80
  4. Step 4: Simplify right side
    42,459.68x = 1,382,654,496
  5. Step 5: Solve for x
    x = 1,382,654,496/42,459.68
  6. Step 6: Final answer
    x = 32,563.94

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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.