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Finding the Fourth Proportional to 30,148.16, 45,223.32 and 12,593.84

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Solution

The fourth proportional to 30,148.16, 45,223.32 and 12,593.84 is: 18,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148.16 : 45,223.32 = 12,593.84 : x
  2. Step 2: Convert to fraction form
    30,148.16/45,223.32 = 12,593.84/x
  3. Step 3: Cross multiply
    30,148.16x = 45,223.32 × 12,593.84
  4. Step 4: Simplify right side
    30,148.16x = 569,535,256.35
  5. Step 5: Solve for x
    x = 569,535,256.35/30,148.16
  6. Step 6: Final answer
    x = 18,891.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.