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Finding the Fourth Proportional to 49,413, 74,140.08 and 19,851.84

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Solution

The fourth proportional to 49,413, 74,140.08 and 19,851.84 is: 29,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,413 : 74,140.08 = 19,851.84 : x
  2. Step 2: Convert to fraction form
    49,413/74,140.08 = 19,851.84/x
  3. Step 3: Cross multiply
    49,413x = 74,140.08 × 19,851.84
  4. Step 4: Simplify right side
    49,413x = 1,471,817,005.75
  5. Step 5: Solve for x
    x = 1,471,817,005.75/49,413
  6. Step 6: Final answer
    x = 29,786.03

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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.