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Finding the Fourth Proportional to 53,496.49, 73,825.02 and 30,835.30

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Solution

The fourth proportional to 53,496.49, 73,825.02 and 30,835.30 is: 42,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,496.49 : 73,825.02 = 30,835.30 : x
  2. Step 2: Convert to fraction form
    53,496.49/73,825.02 = 30,835.30/x
  3. Step 3: Cross multiply
    53,496.49x = 73,825.02 × 30,835.30
  4. Step 4: Simplify right side
    53,496.49x = 2,276,416,639.21
  5. Step 5: Solve for x
    x = 2,276,416,639.21/53,496.49
  6. Step 6: Final answer
    x = 42,552.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.