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Finding the Fourth Proportional to 35,374, 53,061.36 and 10,750

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Solution

The fourth proportional to 35,374, 53,061.36 and 10,750 is: 16,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,374 : 53,061.36 = 10,750 : x
  2. Step 2: Convert to fraction form
    35,374/53,061.36 = 10,750/x
  3. Step 3: Cross multiply
    35,374x = 53,061.36 × 10,750
  4. Step 4: Simplify right side
    35,374x = 570,409,620
  5. Step 5: Solve for x
    x = 570,409,620/35,374
  6. Step 6: Final answer
    x = 16,125.11

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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.