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Finding the Fourth Proportional to 48,034.84, 72,043.86 and 21,733.40

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Solution

The fourth proportional to 48,034.84, 72,043.86 and 21,733.40 is: 32,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,034.84 : 72,043.86 = 21,733.40 : x
  2. Step 2: Convert to fraction form
    48,034.84/72,043.86 = 21,733.40/x
  3. Step 3: Cross multiply
    48,034.84x = 72,043.86 × 21,733.40
  4. Step 4: Simplify right side
    48,034.84x = 1,565,758,026.92
  5. Step 5: Solve for x
    x = 1,565,758,026.92/48,034.84
  6. Step 6: Final answer
    x = 32,596.30

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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.