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Finding the Fourth Proportional to 42,240, 58,291.20 and 24,576

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Solution

The fourth proportional to 42,240, 58,291.20 and 24,576 is: 33,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,240 : 58,291.20 = 24,576 : x
  2. Step 2: Convert to fraction form
    42,240/58,291.20 = 24,576/x
  3. Step 3: Cross multiply
    42,240x = 58,291.20 × 24,576
  4. Step 4: Simplify right side
    42,240x = 1,432,564,531.20
  5. Step 5: Solve for x
    x = 1,432,564,531.20/42,240
  6. Step 6: Final answer
    x = 33,914.88

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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.