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Finding the Fourth Proportional to 103,073.28, 154,629.12 and 32,970.24

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Solution

The fourth proportional to 103,073.28, 154,629.12 and 32,970.24 is: 49,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,073.28 : 154,629.12 = 32,970.24 : x
  2. Step 2: Convert to fraction form
    103,073.28/154,629.12 = 32,970.24/x
  3. Step 3: Cross multiply
    103,073.28x = 154,629.12 × 32,970.24
  4. Step 4: Simplify right side
    103,073.28x = 5,098,159,197.39
  5. Step 5: Solve for x
    x = 5,098,159,197.39/103,073.28
  6. Step 6: Final answer
    x = 49,461.50

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1.5x scale

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.