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Finding the Fourth Proportional to 99,522, 149,283.54 and 25,650

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Solution

The fourth proportional to 99,522, 149,283.54 and 25,650 is: 38,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,522 : 149,283.54 = 25,650 : x
  2. Step 2: Convert to fraction form
    99,522/149,283.54 = 25,650/x
  3. Step 3: Cross multiply
    99,522x = 149,283.54 × 25,650
  4. Step 4: Simplify right side
    99,522x = 3,829,122,801
  5. Step 5: Solve for x
    x = 3,829,122,801/99,522
  6. Step 6: Final answer
    x = 38,475.14

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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.