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Finding the Fourth Proportional to 93,638.25, 140,428.08 and 31,294.17

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Solution

The fourth proportional to 93,638.25, 140,428.08 and 31,294.17 is: 46,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,638.25 : 140,428.08 = 31,294.17 : x
  2. Step 2: Convert to fraction form
    93,638.25/140,428.08 = 31,294.17/x
  3. Step 3: Cross multiply
    93,638.25x = 140,428.08 × 31,294.17
  4. Step 4: Simplify right side
    93,638.25x = 4,394,580,208.29
  5. Step 5: Solve for x
    x = 4,394,580,208.29/93,638.25
  6. Step 6: Final answer
    x = 46,931.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.