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Finding the Fourth Proportional to 52,974, 79,461 and 19,655.46

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Solution

The fourth proportional to 52,974, 79,461 and 19,655.46 is: 29,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,974 : 79,461 = 19,655.46 : x
  2. Step 2: Convert to fraction form
    52,974/79,461 = 19,655.46/x
  3. Step 3: Cross multiply
    52,974x = 79,461 × 19,655.46
  4. Step 4: Simplify right side
    52,974x = 1,561,842,507.06
  5. Step 5: Solve for x
    x = 1,561,842,507.06/52,974
  6. Step 6: Final answer
    x = 29,483.19

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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.