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Finding the Fourth Proportional to 93,756.89, 140,649.95 and 31,412.81

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Solution

The fourth proportional to 93,756.89, 140,649.95 and 31,412.81 is: 47,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,756.89 : 140,649.95 = 31,412.81 : x
  2. Step 2: Convert to fraction form
    93,756.89/140,649.95 = 31,412.81/x
  3. Step 3: Cross multiply
    93,756.89x = 140,649.95 × 31,412.81
  4. Step 4: Simplify right side
    93,756.89x = 4,418,210,586.02
  5. Step 5: Solve for x
    x = 4,418,210,586.02/93,756.89
  6. Step 6: Final answer
    x = 47,124.12

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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.