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Finding the Fourth Proportional to 48,097.94, 72,145.28 and 21,784.28

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Solution

The fourth proportional to 48,097.94, 72,145.28 and 21,784.28 is: 32,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,097.94 : 72,145.28 = 21,784.28 : x
  2. Step 2: Convert to fraction form
    48,097.94/72,145.28 = 21,784.28/x
  3. Step 3: Cross multiply
    48,097.94x = 72,145.28 × 21,784.28
  4. Step 4: Simplify right side
    48,097.94x = 1,571,632,673.93
  5. Step 5: Solve for x
    x = 1,571,632,673.93/48,097.94
  6. Step 6: Final answer
    x = 32,675.68

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1.5x scale

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.