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Finding the Fourth Proportional to 30,615.20, 45,922.64 and 10,894.48

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Solution

The fourth proportional to 30,615.20, 45,922.64 and 10,894.48 is: 16,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.20 : 45,922.64 = 10,894.48 : x
  2. Step 2: Convert to fraction form
    30,615.20/45,922.64 = 10,894.48/x
  3. Step 3: Cross multiply
    30,615.20x = 45,922.64 × 10,894.48
  4. Step 4: Simplify right side
    30,615.20x = 500,303,283.03
  5. Step 5: Solve for x
    x = 500,303,283.03/30,615.20
  6. Step 6: Final answer
    x = 16,341.66

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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.