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Finding the Fourth Proportional to 49,470, 74,209.32 and 12,534

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Solution

The fourth proportional to 49,470, 74,209.32 and 12,534 is: 18,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,470 : 74,209.32 = 12,534 : x
  2. Step 2: Convert to fraction form
    49,470/74,209.32 = 12,534/x
  3. Step 3: Cross multiply
    49,470x = 74,209.32 × 12,534
  4. Step 4: Simplify right side
    49,470x = 930,139,616.88
  5. Step 5: Solve for x
    x = 930,139,616.88/49,470
  6. Step 6: Final answer
    x = 18,802.09

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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.