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Finding the Fourth Proportional to 35,699.91, 49,264.80 and 19,784.01

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Solution

The fourth proportional to 35,699.91, 49,264.80 and 19,784.01 is: 27,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.91 : 49,264.80 = 19,784.01 : x
  2. Step 2: Convert to fraction form
    35,699.91/49,264.80 = 19,784.01/x
  3. Step 3: Cross multiply
    35,699.91x = 49,264.80 × 19,784.01
  4. Step 4: Simplify right side
    35,699.91x = 974,655,295.85
  5. Step 5: Solve for x
    x = 974,655,295.85/35,699.91
  6. Step 6: Final answer
    x = 27,301.34

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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.