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Finding the Fourth Proportional to 93,857.60, 140,787.84 and 31,528.64

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Solution

The fourth proportional to 93,857.60, 140,787.84 and 31,528.64 is: 47,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,857.60 : 140,787.84 = 31,528.64 : x
  2. Step 2: Convert to fraction form
    93,857.60/140,787.84 = 31,528.64/x
  3. Step 3: Cross multiply
    93,857.60x = 140,787.84 × 31,528.64
  4. Step 4: Simplify right side
    93,857.60x = 4,438,849,123.74
  5. Step 5: Solve for x
    x = 4,438,849,123.74/93,857.60
  6. Step 6: Final answer
    x = 47,293.44

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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.