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Finding the Fourth Proportional to 93,178.50, 139,789.62 and 30,849

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Solution

The fourth proportional to 93,178.50, 139,789.62 and 30,849 is: 46,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,178.50 : 139,789.62 = 30,849 : x
  2. Step 2: Convert to fraction form
    93,178.50/139,789.62 = 30,849/x
  3. Step 3: Cross multiply
    93,178.50x = 139,789.62 × 30,849
  4. Step 4: Simplify right side
    93,178.50x = 4,312,369,987.38
  5. Step 5: Solve for x
    x = 4,312,369,987.38/93,178.50
  6. Step 6: Final answer
    x = 46,280.74

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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.