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Finding the Fourth Proportional to 93,946.88, 140,899.84 and 31,616

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Solution

The fourth proportional to 93,946.88, 140,899.84 and 31,616 is: 47,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,946.88 : 140,899.84 = 31,616 : x
  2. Step 2: Convert to fraction form
    93,946.88/140,899.84 = 31,616/x
  3. Step 3: Cross multiply
    93,946.88x = 140,899.84 × 31,616
  4. Step 4: Simplify right side
    93,946.88x = 4,454,689,341.44
  5. Step 5: Solve for x
    x = 4,454,689,341.44/93,946.88
  6. Step 6: Final answer
    x = 47,417.11

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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.