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Finding the Fourth Proportional to 35,784.38, 49,386.98 and 21,637.19

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Solution

The fourth proportional to 35,784.38, 49,386.98 and 21,637.19 is: 29,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.38 : 49,386.98 = 21,637.19 : x
  2. Step 2: Convert to fraction form
    35,784.38/49,386.98 = 21,637.19/x
  3. Step 3: Cross multiply
    35,784.38x = 49,386.98 × 21,637.19
  4. Step 4: Simplify right side
    35,784.38x = 1,068,595,469.79
  5. Step 5: Solve for x
    x = 1,068,595,469.79/35,784.38
  6. Step 6: Final answer
    x = 29,862.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.