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Finding the Fourth Proportional to 30,530.40, 45,793.98 and 9,752.28

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Solution

The fourth proportional to 30,530.40, 45,793.98 and 9,752.28 is: 14,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.40 : 45,793.98 = 9,752.28 : x
  2. Step 2: Convert to fraction form
    30,530.40/45,793.98 = 9,752.28/x
  3. Step 3: Cross multiply
    30,530.40x = 45,793.98 × 9,752.28
  4. Step 4: Simplify right side
    30,530.40x = 446,595,715.27
  5. Step 5: Solve for x
    x = 446,595,715.27/30,530.40
  6. Step 6: Final answer
    x = 14,627.90

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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.