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Finding the Fourth Proportional to 30,510.42, 45,766.45 and 9,733.92

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Solution

The fourth proportional to 30,510.42, 45,766.45 and 9,733.92 is: 14,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,510.42 : 45,766.45 = 9,733.92 : x
  2. Step 2: Convert to fraction form
    30,510.42/45,766.45 = 9,733.92/x
  3. Step 3: Cross multiply
    30,510.42x = 45,766.45 × 9,733.92
  4. Step 4: Simplify right side
    30,510.42x = 445,487,060.96
  5. Step 5: Solve for x
    x = 445,487,060.96/30,510.42
  6. Step 6: Final answer
    x = 14,601.14

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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.