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Finding the Fourth Proportional to 93,652.84, 140,498.46 and 31,323.88

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Solution

The fourth proportional to 93,652.84, 140,498.46 and 31,323.88 is: 46,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,652.84 : 140,498.46 = 31,323.88 : x
  2. Step 2: Convert to fraction form
    93,652.84/140,498.46 = 31,323.88/x
  3. Step 3: Cross multiply
    93,652.84x = 140,498.46 × 31,323.88
  4. Step 4: Simplify right side
    93,652.84x = 4,400,956,901.22
  5. Step 5: Solve for x
    x = 4,400,956,901.22/93,652.84
  6. Step 6: Final answer
    x = 46,992.24

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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.