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Finding the Fourth Proportional to 35,852.34, 49,463 and 21,700.02

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Solution

The fourth proportional to 35,852.34, 49,463 and 21,700.02 is: 29,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.34 : 49,463 = 21,700.02 : x
  2. Step 2: Convert to fraction form
    35,852.34/49,463 = 21,700.02/x
  3. Step 3: Cross multiply
    35,852.34x = 49,463 × 21,700.02
  4. Step 4: Simplify right side
    35,852.34x = 1,073,348,089.26
  5. Step 5: Solve for x
    x = 1,073,348,089.26/35,852.34
  6. Step 6: Final answer
    x = 29,938.02

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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.