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Finding the Fourth Proportional to 93,633.71, 140,421.40 and 31,289.63

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Solution

The fourth proportional to 93,633.71, 140,421.40 and 31,289.63 is: 46,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,633.71 : 140,421.40 = 31,289.63 : x
  2. Step 2: Convert to fraction form
    93,633.71/140,421.40 = 31,289.63/x
  3. Step 3: Cross multiply
    93,633.71x = 140,421.40 × 31,289.63
  4. Step 4: Simplify right side
    93,633.71x = 4,393,732,869.75
  5. Step 5: Solve for x
    x = 4,393,732,869.75/93,633.71
  6. Step 6: Final answer
    x = 46,924.69

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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.