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Finding the Fourth Proportional to 30,549.76, 45,835.02 and 17,206.62

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Solution

The fourth proportional to 30,549.76, 45,835.02 and 17,206.62 is: 25,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.76 : 45,835.02 = 17,206.62 : x
  2. Step 2: Convert to fraction form
    30,549.76/45,835.02 = 17,206.62/x
  3. Step 3: Cross multiply
    30,549.76x = 45,835.02 × 17,206.62
  4. Step 4: Simplify right side
    30,549.76x = 788,665,771.83
  5. Step 5: Solve for x
    x = 788,665,771.83/30,549.76
  6. Step 6: Final answer
    x = 25,815.78

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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.