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Finding the Fourth Proportional to 84,732.84, 127,100.16 and 25,569.03

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Solution

The fourth proportional to 84,732.84, 127,100.16 and 25,569.03 is: 38,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,732.84 : 127,100.16 = 25,569.03 : x
  2. Step 2: Convert to fraction form
    84,732.84/127,100.16 = 25,569.03/x
  3. Step 3: Cross multiply
    84,732.84x = 127,100.16 × 25,569.03
  4. Step 4: Simplify right side
    84,732.84x = 3,249,827,804.04
  5. Step 5: Solve for x
    x = 3,249,827,804.04/84,732.84
  6. Step 6: Final answer
    x = 38,353.82

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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.