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Finding the Fourth Proportional to 30,502.62, 45,752.57 and 8,316.00

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Solution

The fourth proportional to 30,502.62, 45,752.57 and 8,316.00 is: 12,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.62 : 45,752.57 = 8,316.00 : x
  2. Step 2: Convert to fraction form
    30,502.62/45,752.57 = 8,316.00/x
  3. Step 3: Cross multiply
    30,502.62x = 45,752.57 × 8,316.00
  4. Step 4: Simplify right side
    30,502.62x = 380,478,143.36
  5. Step 5: Solve for x
    x = 380,478,143.36/30,502.62
  6. Step 6: Final answer
    x = 12,473.62

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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.