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Finding the Fourth Proportional to 30,688.80, 45,946.80 and 29,824.80

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Solution

The fourth proportional to 30,688.80, 45,946.80 and 29,824.80 is: 44,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688.80 : 45,946.80 = 29,824.80 : x
  2. Step 2: Convert to fraction form
    30,688.80/45,946.80 = 29,824.80/x
  3. Step 3: Cross multiply
    30,688.80x = 45,946.80 × 29,824.80
  4. Step 4: Simplify right side
    30,688.80x = 1,370,354,120.64
  5. Step 5: Solve for x
    x = 1,370,354,120.64/30,688.80
  6. Step 6: Final answer
    x = 44,653.23

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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.