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Finding the Fourth Proportional to 42,541, 58,706.58 and 23,678.14

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Solution

The fourth proportional to 42,541, 58,706.58 and 23,678.14 is: 32,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,541 : 58,706.58 = 23,678.14 : x
  2. Step 2: Convert to fraction form
    42,541/58,706.58 = 23,678.14/x
  3. Step 3: Cross multiply
    42,541x = 58,706.58 × 23,678.14
  4. Step 4: Simplify right side
    42,541x = 1,390,062,620.16
  5. Step 5: Solve for x
    x = 1,390,062,620.16/42,541
  6. Step 6: Final answer
    x = 32,675.83

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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.