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Finding the Fourth Proportional to 49,592.75, 74,389.53 and 18,428

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Solution

The fourth proportional to 49,592.75, 74,389.53 and 18,428 is: 27,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,592.75 : 74,389.53 = 18,428 : x
  2. Step 2: Convert to fraction form
    49,592.75/74,389.53 = 18,428/x
  3. Step 3: Cross multiply
    49,592.75x = 74,389.53 × 18,428
  4. Step 4: Simplify right side
    49,592.75x = 1,370,850,258.84
  5. Step 5: Solve for x
    x = 1,370,850,258.84/49,592.75
  6. Step 6: Final answer
    x = 27,642.15

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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.