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Finding the Fourth Proportional to 84,729.84, 127,095.66 and 25,566

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Solution

The fourth proportional to 84,729.84, 127,095.66 and 25,566 is: 38,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,729.84 : 127,095.66 = 25,566 : x
  2. Step 2: Convert to fraction form
    84,729.84/127,095.66 = 25,566/x
  3. Step 3: Cross multiply
    84,729.84x = 127,095.66 × 25,566
  4. Step 4: Simplify right side
    84,729.84x = 3,249,327,643.56
  5. Step 5: Solve for x
    x = 3,249,327,643.56/84,729.84
  6. Step 6: Final answer
    x = 38,349.27

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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.