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Finding the Fourth Proportional to 30,588.92, 45,874.56 and 8,403.02

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Solution

The fourth proportional to 30,588.92, 45,874.56 and 8,403.02 is: 12,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.92 : 45,874.56 = 8,403.02 : x
  2. Step 2: Convert to fraction form
    30,588.92/45,874.56 = 8,403.02/x
  3. Step 3: Cross multiply
    30,588.92x = 45,874.56 × 8,403.02
  4. Step 4: Simplify right side
    30,588.92x = 385,484,845.17
  5. Step 5: Solve for x
    x = 385,484,845.17/30,588.92
  6. Step 6: Final answer
    x = 12,602.11

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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.