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Finding the Fourth Proportional to 35,223.66, 52,825.50 and 15,498

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Solution

The fourth proportional to 35,223.66, 52,825.50 and 15,498 is: 23,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,223.66 : 52,825.50 = 15,498 : x
  2. Step 2: Convert to fraction form
    35,223.66/52,825.50 = 15,498/x
  3. Step 3: Cross multiply
    35,223.66x = 52,825.50 × 15,498
  4. Step 4: Simplify right side
    35,223.66x = 818,689,599
  5. Step 5: Solve for x
    x = 818,689,599/35,223.66
  6. Step 6: Final answer
    x = 23,242.60

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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.