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Finding the Fourth Proportional to 42,397.36, 58,505.43 and 23,533

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Solution

The fourth proportional to 42,397.36, 58,505.43 and 23,533 is: 32,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,397.36 : 58,505.43 = 23,533 : x
  2. Step 2: Convert to fraction form
    42,397.36/58,505.43 = 23,533/x
  3. Step 3: Cross multiply
    42,397.36x = 58,505.43 × 23,533
  4. Step 4: Simplify right side
    42,397.36x = 1,376,808,284.19
  5. Step 5: Solve for x
    x = 1,376,808,284.19/42,397.36
  6. Step 6: Final answer
    x = 32,473.92

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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.