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Finding the Fourth Proportional to 93,931.95, 140,912.51 and 31,597.59

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Solution

The fourth proportional to 93,931.95, 140,912.51 and 31,597.59 is: 47,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,931.95 : 140,912.51 = 31,597.59 : x
  2. Step 2: Convert to fraction form
    93,931.95/140,912.51 = 31,597.59/x
  3. Step 3: Cross multiply
    93,931.95x = 140,912.51 × 31,597.59
  4. Step 4: Simplify right side
    93,931.95x = 4,452,496,265.02
  5. Step 5: Solve for x
    x = 4,452,496,265.02/93,931.95
  6. Step 6: Final answer
    x = 47,401.30

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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.