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Finding the Fourth Proportional to 30,300.84, 45,446.40 and 9,529.20

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Solution

The fourth proportional to 30,300.84, 45,446.40 and 9,529.20 is: 14,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300.84 : 45,446.40 = 9,529.20 : x
  2. Step 2: Convert to fraction form
    30,300.84/45,446.40 = 9,529.20/x
  3. Step 3: Cross multiply
    30,300.84x = 45,446.40 × 9,529.20
  4. Step 4: Simplify right side
    30,300.84x = 433,067,834.88
  5. Step 5: Solve for x
    x = 433,067,834.88/30,300.84
  6. Step 6: Final answer
    x = 14,292.27

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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.