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Finding the Fourth Proportional to 35,484, 48,968.25 and 19,569

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Solution

The fourth proportional to 35,484, 48,968.25 and 19,569 is: 27,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,484 : 48,968.25 = 19,569 : x
  2. Step 2: Convert to fraction form
    35,484/48,968.25 = 19,569/x
  3. Step 3: Cross multiply
    35,484x = 48,968.25 × 19,569
  4. Step 4: Simplify right side
    35,484x = 958,259,684.25
  5. Step 5: Solve for x
    x = 958,259,684.25/35,484
  6. Step 6: Final answer
    x = 27,005.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.