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Finding the Fourth Proportional to 93,447, 140,184 and 30,246.48

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Solution

The fourth proportional to 93,447, 140,184 and 30,246.48 is: 45,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,447 : 140,184 = 30,246.48 : x
  2. Step 2: Convert to fraction form
    93,447/140,184 = 30,246.48/x
  3. Step 3: Cross multiply
    93,447x = 140,184 × 30,246.48
  4. Step 4: Simplify right side
    93,447x = 4,240,072,552.32
  5. Step 5: Solve for x
    x = 4,240,072,552.32/93,447
  6. Step 6: Final answer
    x = 45,374.09

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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.