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Finding the Fourth Proportional to 35,132.52, 52,698.78 and 14,356

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Solution

The fourth proportional to 35,132.52, 52,698.78 and 14,356 is: 21,534

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,132.52 : 52,698.78 = 14,356 : x
  2. Step 2: Convert to fraction form
    35,132.52/52,698.78 = 14,356/x
  3. Step 3: Cross multiply
    35,132.52x = 52,698.78 × 14,356
  4. Step 4: Simplify right side
    35,132.52x = 756,543,685.68
  5. Step 5: Solve for x
    x = 756,543,685.68/35,132.52
  6. Step 6: Final answer
    x = 21,534

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.