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Finding the Fourth Proportional to 35,698.01, 49,263.66 and 19,782.72

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Solution

The fourth proportional to 35,698.01, 49,263.66 and 19,782.72 is: 27,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.01 : 49,263.66 = 19,782.72 : x
  2. Step 2: Convert to fraction form
    35,698.01/49,263.66 = 19,782.72/x
  3. Step 3: Cross multiply
    35,698.01x = 49,263.66 × 19,782.72
  4. Step 4: Simplify right side
    35,698.01x = 974,569,191.96
  5. Step 5: Solve for x
    x = 974,569,191.96/35,698.01
  6. Step 6: Final answer
    x = 27,300.38

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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.