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Finding the Fourth Proportional to 30,501.86, 45,751.44 and 8,315.24

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Solution

The fourth proportional to 30,501.86, 45,751.44 and 8,315.24 is: 12,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501.86 : 45,751.44 = 8,315.24 : x
  2. Step 2: Convert to fraction form
    30,501.86/45,751.44 = 8,315.24/x
  3. Step 3: Cross multiply
    30,501.86x = 45,751.44 × 8,315.24
  4. Step 4: Simplify right side
    30,501.86x = 380,434,318.32
  5. Step 5: Solve for x
    x = 380,434,318.32/30,501.86
  6. Step 6: Final answer
    x = 12,472.49

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Double scale
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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.