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Finding the Fourth Proportional to 70,957.28, 106,436.48 and 31,503.84

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Solution

The fourth proportional to 70,957.28, 106,436.48 and 31,503.84 is: 47,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,957.28 : 106,436.48 = 31,503.84 : x
  2. Step 2: Convert to fraction form
    70,957.28/106,436.48 = 31,503.84/x
  3. Step 3: Cross multiply
    70,957.28x = 106,436.48 × 31,503.84
  4. Step 4: Simplify right side
    70,957.28x = 3,353,157,836.08
  5. Step 5: Solve for x
    x = 3,353,157,836.08/70,957.28
  6. Step 6: Final answer
    x = 47,256.01

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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.