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Finding the Fourth Proportional to 30,376.67, 45,564.88 and 8,192.29

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Solution

The fourth proportional to 30,376.67, 45,564.88 and 8,192.29 is: 12,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,376.67 : 45,564.88 = 8,192.29 : x
  2. Step 2: Convert to fraction form
    30,376.67/45,564.88 = 8,192.29/x
  3. Step 3: Cross multiply
    30,376.67x = 45,564.88 × 8,192.29
  4. Step 4: Simplify right side
    30,376.67x = 373,280,677.18
  5. Step 5: Solve for x
    x = 373,280,677.18/30,376.67
  6. Step 6: Final answer
    x = 12,288.40

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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.