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Finding the Fourth Proportional to 42,180.68, 58,206.84 and 23,316.68

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Solution

The fourth proportional to 42,180.68, 58,206.84 and 23,316.68 is: 32,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,180.68 : 58,206.84 = 23,316.68 : x
  2. Step 2: Convert to fraction form
    42,180.68/58,206.84 = 23,316.68/x
  3. Step 3: Cross multiply
    42,180.68x = 58,206.84 × 23,316.68
  4. Step 4: Simplify right side
    42,180.68x = 1,357,190,262.09
  5. Step 5: Solve for x
    x = 1,357,190,262.09/42,180.68
  6. Step 6: Final answer
    x = 32,175.64

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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.