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Finding the Fourth Proportional to 30,632.42, 45,948.54 and 9,855.92

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Solution

The fourth proportional to 30,632.42, 45,948.54 and 9,855.92 is: 14,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,632.42 : 45,948.54 = 9,855.92 : x
  2. Step 2: Convert to fraction form
    30,632.42/45,948.54 = 9,855.92/x
  3. Step 3: Cross multiply
    30,632.42x = 45,948.54 × 9,855.92
  4. Step 4: Simplify right side
    30,632.42x = 452,865,134.36
  5. Step 5: Solve for x
    x = 452,865,134.36/30,632.42
  6. Step 6: Final answer
    x = 14,783.85

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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.