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Finding the Fourth Proportional to 42,693.28, 58,916.58 and 23,830.24

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Solution

The fourth proportional to 42,693.28, 58,916.58 and 23,830.24 is: 32,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,693.28 : 58,916.58 = 23,830.24 : x
  2. Step 2: Convert to fraction form
    42,693.28/58,916.58 = 23,830.24/x
  3. Step 3: Cross multiply
    42,693.28x = 58,916.58 × 23,830.24
  4. Step 4: Simplify right side
    42,693.28x = 1,403,996,241.38
  5. Step 5: Solve for x
    x = 1,403,996,241.38/42,693.28
  6. Step 6: Final answer
    x = 32,885.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.